Finding the Fourth Proportional to 1,516.50, 2,265.98 and 1,205.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.50 : 2,265.98 = 1,205.10 : x
2. Step 2: Convert to fraction form
   1,516.50/2,265.98 = 1,205.10/x
3. Step 3: Cross multiply
   1,516.50x = 2,265.98 × 1,205.10
4. Step 4: Simplify right side
   1,516.50x = 2,730,726.47
5. Step 5: Solve for x
   x = 2,730,726.47/1,516.50
6. Step 6: Final answer
   x = 1,800.68