Finding the Fourth Proportional to 10,562.59, 14,576.15 and 5,782.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,562.59 : 14,576.15 = 5,782.41 : x
2. Step 2: Convert to fraction form
   10,562.59/14,576.15 = 5,782.41/x
3. Step 3: Cross multiply
   10,562.59x = 14,576.15 × 5,782.41
4. Step 4: Simplify right side
   10,562.59x = 84,285,275.52
5. Step 5: Solve for x
   x = 84,285,275.52/10,562.59
6. Step 6: Final answer
   x = 7,979.60