Finding the Fourth Proportional to 2,577.92, 3,557.72 and 1,582.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.92 : 3,557.72 = 1,582.96 : x
2. Step 2: Convert to fraction form
   2,577.92/3,557.72 = 1,582.96/x
3. Step 3: Cross multiply
   2,577.92x = 3,557.72 × 1,582.96
4. Step 4: Simplify right side
   2,577.92x = 5,631,728.45
5. Step 5: Solve for x
   x = 5,631,728.45/2,577.92
6. Step 6: Final answer
   x = 2,184.60