Finding the Fourth Proportional to 5,127.10, 7,675.71 and 3,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,127.10 : 7,675.71 = 3,899.50 : x
2. Step 2: Convert to fraction form
   5,127.10/7,675.71 = 3,899.50/x
3. Step 3: Cross multiply
   5,127.10x = 7,675.71 × 3,899.50
4. Step 4: Simplify right side
   5,127.10x = 29,931,431.15
5. Step 5: Solve for x
   x = 29,931,431.15/5,127.10
6. Step 6: Final answer
   x = 5,837.89