Finding the Fourth Proportional to 10,505.57, 14,497.59 and 5,789.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.57 : 14,497.59 = 5,789.75 : x
2. Step 2: Convert to fraction form
   10,505.57/14,497.59 = 5,789.75/x
3. Step 3: Cross multiply
   10,505.57x = 14,497.59 × 5,789.75
4. Step 4: Simplify right side
   10,505.57x = 83,937,421.70
5. Step 5: Solve for x
   x = 83,937,421.70/10,505.57
6. Step 6: Final answer
   x = 7,989.80