Finding the Fourth Proportional to 3,498.57, 5,243.18 and 2,569.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,498.57 : 5,243.18 = 2,569.77 : x
2. Step 2: Convert to fraction form
   3,498.57/5,243.18 = 2,569.77/x
3. Step 3: Cross multiply
   3,498.57x = 5,243.18 × 2,569.77
4. Step 4: Simplify right side
   3,498.57x = 13,473,753.82
5. Step 5: Solve for x
   x = 13,473,753.82/3,498.57
6. Step 6: Final answer
   x = 3,851.22