Finding the Fourth Proportional to 5,200.55, 7,788.68 and 5,096.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.55 : 7,788.68 = 5,096.15 : x
2. Step 2: Convert to fraction form
   5,200.55/7,788.68 = 5,096.15/x
3. Step 3: Cross multiply
   5,200.55x = 7,788.68 × 5,096.15
4. Step 4: Simplify right side
   5,200.55x = 39,692,256.10
5. Step 5: Solve for x
   x = 39,692,256.10/5,200.55
6. Step 6: Final answer
   x = 7,632.32