Finding the Fourth Proportional to 5,158.56, 7,741.60 and 3,863.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158.56 : 7,741.60 = 3,863.52 : x
2. Step 2: Convert to fraction form
   5,158.56/7,741.60 = 3,863.52/x
3. Step 3: Cross multiply
   5,158.56x = 7,741.60 × 3,863.52
4. Step 4: Simplify right side
   5,158.56x = 29,909,826.43
5. Step 5: Solve for x
   x = 29,909,826.43/5,158.56
6. Step 6: Final answer
   x = 5,798.10