Finding the Fourth Proportional to 10,405.64, 14,359.83 and 5,689.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.64 : 14,359.83 = 5,689.91 : x
2. Step 2: Convert to fraction form
   10,405.64/14,359.83 = 5,689.91/x
3. Step 3: Cross multiply
   10,405.64x = 14,359.83 × 5,689.91
4. Step 4: Simplify right side
   10,405.64x = 81,706,068.52
5. Step 5: Solve for x
   x = 81,706,068.52/10,405.64
6. Step 6: Final answer
   x = 7,852.10