Finding the Fourth Proportional to 1,189.28, 1,648.82 and 1,123.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.28 : 1,648.82 = 1,123.76 : x
2. Step 2: Convert to fraction form
   1,189.28/1,648.82 = 1,123.76/x
3. Step 3: Cross multiply
   1,189.28x = 1,648.82 × 1,123.76
4. Step 4: Simplify right side
   1,189.28x = 1,852,877.96
5. Step 5: Solve for x
   x = 1,852,877.96/1,189.28
6. Step 6: Final answer
   x = 1,557.98