Finding the Fourth Proportional to 7,314.50, 10,098.61 and 5,632.74

Step by Step Solution

1. Step 1: Write the proportion equation
   7,314.50 : 10,098.61 = 5,632.74 : x
2. Step 2: Convert to fraction form
   7,314.50/10,098.61 = 5,632.74/x
3. Step 3: Cross multiply
   7,314.50x = 10,098.61 × 5,632.74
4. Step 4: Simplify right side
   7,314.50x = 56,882,830.41
5. Step 5: Solve for x
   x = 56,882,830.41/7,314.50
6. Step 6: Final answer
   x = 7,776.72