Finding the Fourth Proportional to 1,565.40, 2,352.54 and 1,460.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.40 : 2,352.54 = 1,460.18 : x
2. Step 2: Convert to fraction form
   1,565.40/2,352.54 = 1,460.18/x
3. Step 3: Cross multiply
   1,565.40x = 2,352.54 × 1,460.18
4. Step 4: Simplify right side
   1,565.40x = 3,435,131.86
5. Step 5: Solve for x
   x = 3,435,131.86/1,565.40
6. Step 6: Final answer
   x = 2,194.41