Finding the Fourth Proportional to 10,402.11, 14,354.22 and 5,686.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.11 : 14,354.22 = 5,686.38 : x
2. Step 2: Convert to fraction form
   10,402.11/14,354.22 = 5,686.38/x
3. Step 3: Cross multiply
   10,402.11x = 14,354.22 × 5,686.38
4. Step 4: Simplify right side
   10,402.11x = 81,623,549.52
5. Step 5: Solve for x
   x = 81,623,549.52/10,402.11
6. Step 6: Final answer
   x = 7,846.83