Finding the Fourth Proportional to 10,405.59, 14,359.73 and 5,689.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.59 : 14,359.73 = 5,689.88 : x
2. Step 2: Convert to fraction form
   10,405.59/14,359.73 = 5,689.88/x
3. Step 3: Cross multiply
   10,405.59x = 14,359.73 × 5,689.88
4. Step 4: Simplify right side
   10,405.59x = 81,705,040.28
5. Step 5: Solve for x
   x = 81,705,040.28/10,405.59
6. Step 6: Final answer
   x = 7,852.03