Finding the Fourth Proportional to 10,405.53, 14,359.70 and 5,689.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.53 : 14,359.70 = 5,689.83 : x
2. Step 2: Convert to fraction form
   10,405.53/14,359.70 = 5,689.83/x
3. Step 3: Cross multiply
   10,405.53x = 14,359.70 × 5,689.83
4. Step 4: Simplify right side
   10,405.53x = 81,704,223.40
5. Step 5: Solve for x
   x = 81,704,223.40/10,405.53
6. Step 6: Final answer
   x = 7,852.00