Finding the Fourth Proportional to 3,665.61, 5,498.51 and 3,142.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.61 : 5,498.51 = 3,142.35 : x
2. Step 2: Convert to fraction form
   3,665.61/5,498.51 = 3,142.35/x
3. Step 3: Cross multiply
   3,665.61x = 5,498.51 × 3,142.35
4. Step 4: Simplify right side
   3,665.61x = 17,278,227.19
5. Step 5: Solve for x
   x = 17,278,227.19/3,665.61
6. Step 6: Final answer
   x = 4,713.60