Finding the Fourth Proportional to 10,405.01, 14,359.05 and 5,689.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.01 : 14,359.05 = 5,689.30 : x
2. Step 2: Convert to fraction form
   10,405.01/14,359.05 = 5,689.30/x
3. Step 3: Cross multiply
   10,405.01x = 14,359.05 × 5,689.30
4. Step 4: Simplify right side
   10,405.01x = 81,692,943.17
5. Step 5: Solve for x
   x = 81,692,943.17/10,405.01
6. Step 6: Final answer
   x = 7,851.31