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Finding the Fourth Proportional to 11,766.25, 17,656.67 and 6,838.21

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Solution

The fourth proportional to 11,766.25, 17,656.67 and 6,838.21 is: 10,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.25 : 17,656.67 = 6,838.21 : x
  2. Step 2: Convert to fraction form
    11,766.25/17,656.67 = 6,838.21/x
  3. Step 3: Cross multiply
    11,766.25x = 17,656.67 × 6,838.21
  4. Step 4: Simplify right side
    11,766.25x = 120,740,017.36
  5. Step 5: Solve for x
    x = 120,740,017.36/11,766.25
  6. Step 6: Final answer
    x = 10,261.55

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