Finding the Fourth Proportional to 5,109.16, 7,648.80 and 3,881.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.16 : 7,648.80 = 3,881.38 : x
2. Step 2: Convert to fraction form
   5,109.16/7,648.80 = 3,881.38/x
3. Step 3: Cross multiply
   5,109.16x = 7,648.80 × 3,881.38
4. Step 4: Simplify right side
   5,109.16x = 29,687,899.34
5. Step 5: Solve for x
   x = 29,687,899.34/5,109.16
6. Step 6: Final answer
   x = 5,810.72