Finding the Fourth Proportional to 1,123.58, 1,551.30 and 725.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.58 : 1,551.30 = 725.78 : x
2. Step 2: Convert to fraction form
   1,123.58/1,551.30 = 725.78/x
3. Step 3: Cross multiply
   1,123.58x = 1,551.30 × 725.78
4. Step 4: Simplify right side
   1,123.58x = 1,125,902.51
5. Step 5: Solve for x
   x = 1,125,902.51/1,123.58
6. Step 6: Final answer
   x = 1,002.07