Finding the Fourth Proportional to 5,158.78, 7,735.62 and 3,677.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158.78 : 7,735.62 = 3,677.20 : x
2. Step 2: Convert to fraction form
   5,158.78/7,735.62 = 3,677.20/x
3. Step 3: Cross multiply
   5,158.78x = 7,735.62 × 3,677.20
4. Step 4: Simplify right side
   5,158.78x = 28,445,421.86
5. Step 5: Solve for x
   x = 28,445,421.86/5,158.78
6. Step 6: Final answer
   x = 5,513.98