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Finding the Fourth Proportional to 10,633.86, 15,935.67 and 7,838.55

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Solution

The fourth proportional to 10,633.86, 15,935.67 and 7,838.55 is: 11,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.86 : 15,935.67 = 7,838.55 : x
  2. Step 2: Convert to fraction form
    10,633.86/15,935.67 = 7,838.55/x
  3. Step 3: Cross multiply
    10,633.86x = 15,935.67 × 7,838.55
  4. Step 4: Simplify right side
    10,633.86x = 124,912,546.08
  5. Step 5: Solve for x
    x = 124,912,546.08/10,633.86
  6. Step 6: Final answer
    x = 11,746.68

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