Finding the Fourth Proportional to 10,646.38, 14,691.42 and 5,866.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.38 : 14,691.42 = 5,866.15 : x
2. Step 2: Convert to fraction form
   10,646.38/14,691.42 = 5,866.15/x
3. Step 3: Cross multiply
   10,646.38x = 14,691.42 × 5,866.15
4. Step 4: Simplify right side
   10,646.38x = 86,182,073.43
5. Step 5: Solve for x
   x = 86,182,073.43/10,646.38
6. Step 6: Final answer
   x = 8,094.96