Finding the Fourth Proportional to 1,565.18, 2,159.94 and 857.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.18 : 2,159.94 = 857.02 : x
2. Step 2: Convert to fraction form
   1,565.18/2,159.94 = 857.02/x
3. Step 3: Cross multiply
   1,565.18x = 2,159.94 × 857.02
4. Step 4: Simplify right side
   1,565.18x = 1,851,111.78
5. Step 5: Solve for x
   x = 1,851,111.78/1,565.18
6. Step 6: Final answer
   x = 1,182.68