Finding the Fourth Proportional to 10,402.04, 14,354.51 and 5,686.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.04 : 14,354.51 = 5,686.32 : x
2. Step 2: Convert to fraction form
   10,402.04/14,354.51 = 5,686.32/x
3. Step 3: Cross multiply
   10,402.04x = 14,354.51 × 5,686.32
4. Step 4: Simplify right side
   10,402.04x = 81,624,308.87
5. Step 5: Solve for x
   x = 81,624,308.87/10,402.04
6. Step 6: Final answer
   x = 7,846.96