Finding the Fourth Proportional to 10,513.62, 15,772.32 and 3,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.62 : 15,772.32 = 3,586.50 : x
2. Step 2: Convert to fraction form
   10,513.62/15,772.32 = 3,586.50/x
3. Step 3: Cross multiply
   10,513.62x = 15,772.32 × 3,586.50
4. Step 4: Simplify right side
   10,513.62x = 56,567,425.68
5. Step 5: Solve for x
   x = 56,567,425.68/10,513.62
6. Step 6: Final answer
   x = 5,380.39