Finding the Fourth Proportional to 10,405.60, 14,359.75 and 5,689.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.60 : 14,359.75 = 5,689.85 : x
2. Step 2: Convert to fraction form
   10,405.60/14,359.75 = 5,689.85/x
3. Step 3: Cross multiply
   10,405.60x = 14,359.75 × 5,689.85
4. Step 4: Simplify right side
   10,405.60x = 81,704,737.51
5. Step 5: Solve for x
   x = 81,704,737.51/10,405.60
6. Step 6: Final answer
   x = 7,852.00