Finding the Fourth Proportional to 10,405.12, 14,358.66 and 5,689.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.12 : 14,358.66 = 5,689.48 : x
2. Step 2: Convert to fraction form
   10,405.12/14,358.66 = 5,689.48/x
3. Step 3: Cross multiply
   10,405.12x = 14,358.66 × 5,689.48
4. Step 4: Simplify right side
   10,405.12x = 81,693,308.90
5. Step 5: Solve for x
   x = 81,693,308.90/10,405.12
6. Step 6: Final answer
   x = 7,851.26