Finding the Fourth Proportional to 2,577.84, 3,555.82 and 1,582.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.84 : 3,555.82 = 1,582.16 : x
2. Step 2: Convert to fraction form
   2,577.84/3,555.82 = 1,582.16/x
3. Step 3: Cross multiply
   2,577.84x = 3,555.82 × 1,582.16
4. Step 4: Simplify right side
   2,577.84x = 5,625,876.17
5. Step 5: Solve for x
   x = 5,625,876.17/2,577.84
6. Step 6: Final answer
   x = 2,182.40