Finding the Fourth Proportional to 2,585.04, 3,876.72 and 1,123.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.04 : 3,876.72 = 1,123.76 : x
2. Step 2: Convert to fraction form
   2,585.04/3,876.72 = 1,123.76/x
3. Step 3: Cross multiply
   2,585.04x = 3,876.72 × 1,123.76
4. Step 4: Simplify right side
   2,585.04x = 4,356,502.87
5. Step 5: Solve for x
   x = 4,356,502.87/2,585.04
6. Step 6: Final answer
   x = 1,685.27