Finding the Fourth Proportional to 1,057.84, 1,586.64 and 748.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.84 : 1,586.64 = 748.72 : x
2. Step 2: Convert to fraction form
   1,057.84/1,586.64 = 748.72/x
3. Step 3: Cross multiply
   1,057.84x = 1,586.64 × 748.72
4. Step 4: Simplify right side
   1,057.84x = 1,187,949.10
5. Step 5: Solve for x
   x = 1,187,949.10/1,057.84
6. Step 6: Final answer
   x = 1,123.00