Finding the Fourth Proportional to 2,585.32, 3,876.76 and 1,123.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.32 : 3,876.76 = 1,123.88 : x
2. Step 2: Convert to fraction form
   2,585.32/3,876.76 = 1,123.88/x
3. Step 3: Cross multiply
   2,585.32x = 3,876.76 × 1,123.88
4. Step 4: Simplify right side
   2,585.32x = 4,356,995.05
5. Step 5: Solve for x
   x = 4,356,995.05/2,585.32
6. Step 6: Final answer
   x = 1,685.28