Finding the Fourth Proportional to 10,516.62, 15,776.82 and 3,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.62 : 15,776.82 = 3,589.50 : x
2. Step 2: Convert to fraction form
   10,516.62/15,776.82 = 3,589.50/x
3. Step 3: Cross multiply
   10,516.62x = 15,776.82 × 3,589.50
4. Step 4: Simplify right side
   10,516.62x = 56,630,895.39
5. Step 5: Solve for x
   x = 56,630,895.39/10,516.62
6. Step 6: Final answer
   x = 5,384.90