Finding the Fourth Proportional to 10,405.02, 14,359.06 and 5,689.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.02 : 14,359.06 = 5,689.30 : x
2. Step 2: Convert to fraction form
   10,405.02/14,359.06 = 5,689.30/x
3. Step 3: Cross multiply
   10,405.02x = 14,359.06 × 5,689.30
4. Step 4: Simplify right side
   10,405.02x = 81,693,000.06
5. Step 5: Solve for x
   x = 81,693,000.06/10,405.02
6. Step 6: Final answer
   x = 7,851.31