Finding the Fourth Proportional to 5,632.57, 7,772.83 and 3,114.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,632.57 : 7,772.83 = 3,114.78 : x
2. Step 2: Convert to fraction form
   5,632.57/7,772.83 = 3,114.78/x
3. Step 3: Cross multiply
   5,632.57x = 7,772.83 × 3,114.78
4. Step 4: Simplify right side
   5,632.57x = 24,210,655.43
5. Step 5: Solve for x
   x = 24,210,655.43/5,632.57
6. Step 6: Final answer
   x = 4,298.33