Finding the Fourth Proportional to 2,582.16, 3,872.55 and 1,120.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.16 : 3,872.55 = 1,120.98 : x
2. Step 2: Convert to fraction form
   2,582.16/3,872.55 = 1,120.98/x
3. Step 3: Cross multiply
   2,582.16x = 3,872.55 × 1,120.98
4. Step 4: Simplify right side
   2,582.16x = 4,341,051.10
5. Step 5: Solve for x
   x = 4,341,051.10/2,582.16
6. Step 6: Final answer
   x = 1,681.17