Finding the Fourth Proportional to 1,540.98, 2,314.24 and 1,417.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.98 : 2,314.24 = 1,417.36 : x
2. Step 2: Convert to fraction form
   1,540.98/2,314.24 = 1,417.36/x
3. Step 3: Cross multiply
   1,540.98x = 2,314.24 × 1,417.36
4. Step 4: Simplify right side
   1,540.98x = 3,280,092.55
5. Step 5: Solve for x
   x = 3,280,092.55/1,540.98
6. Step 6: Final answer
   x = 2,128.58