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Finding the Fourth Proportional to 5,104.48, 7,656.78 and 1,406.74

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Solution

The fourth proportional to 5,104.48, 7,656.78 and 1,406.74 is: 2,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.48 : 7,656.78 = 1,406.74 : x
  2. Step 2: Convert to fraction form
    5,104.48/7,656.78 = 1,406.74/x
  3. Step 3: Cross multiply
    5,104.48x = 7,656.78 × 1,406.74
  4. Step 4: Simplify right side
    5,104.48x = 10,771,098.70
  5. Step 5: Solve for x
    x = 10,771,098.70/5,104.48
  6. Step 6: Final answer
    x = 2,110.13

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