Finding the Fourth Proportional to 7,549.02, 10,414.13 and 5,777.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,549.02 : 10,414.13 = 5,777.55 : x
2. Step 2: Convert to fraction form
   7,549.02/10,414.13 = 5,777.55/x
3. Step 3: Cross multiply
   7,549.02x = 10,414.13 × 5,777.55
4. Step 4: Simplify right side
   7,549.02x = 60,168,127.89
5. Step 5: Solve for x
   x = 60,168,127.89/7,549.02
6. Step 6: Final answer
   x = 7,970.32