Finding the Fourth Proportional to 10,412.55, 14,369.27 and 5,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.55 : 14,369.27 = 5,632.50 : x
2. Step 2: Convert to fraction form
   10,412.55/14,369.27 = 5,632.50/x
3. Step 3: Cross multiply
   10,412.55x = 14,369.27 × 5,632.50
4. Step 4: Simplify right side
   10,412.55x = 80,934,841.43
5. Step 5: Solve for x
   x = 80,934,841.43/10,412.55
6. Step 6: Final answer
   x = 7,772.82