Finding the Fourth Proportional to 10,405.05, 14,359.02 and 5,689.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.05 : 14,359.02 = 5,689.33 : x
2. Step 2: Convert to fraction form
   10,405.05/14,359.02 = 5,689.33/x
3. Step 3: Cross multiply
   10,405.05x = 14,359.02 × 5,689.33
4. Step 4: Simplify right side
   10,405.05x = 81,693,203.26
5. Step 5: Solve for x
   x = 81,693,203.26/10,405.05
6. Step 6: Final answer
   x = 7,851.30