Finding the Fourth Proportional to 5,691.15, 7,851.61 and 3,565.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,691.15 : 7,851.61 = 3,565.78 : x
2. Step 2: Convert to fraction form
   5,691.15/7,851.61 = 3,565.78/x
3. Step 3: Cross multiply
   5,691.15x = 7,851.61 × 3,565.78
4. Step 4: Simplify right side
   5,691.15x = 27,997,116.79
5. Step 5: Solve for x
   x = 27,997,116.79/5,691.15
6. Step 6: Final answer
   x = 4,919.41