Finding the Fourth Proportional to 1,577.57, 2,354.20 and 1,385.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.57 : 2,354.20 = 1,385.60 : x
2. Step 2: Convert to fraction form
   1,577.57/2,354.20 = 1,385.60/x
3. Step 3: Cross multiply
   1,577.57x = 2,354.20 × 1,385.60
4. Step 4: Simplify right side
   1,577.57x = 3,261,979.52
5. Step 5: Solve for x
   x = 3,261,979.52/1,577.57
6. Step 6: Final answer
   x = 2,067.72