Finding the Fourth Proportional to 1,123.88, 1,684.58 and 757.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.88 : 1,684.58 = 757.76 : x
2. Step 2: Convert to fraction form
   1,123.88/1,684.58 = 757.76/x
3. Step 3: Cross multiply
   1,123.88x = 1,684.58 × 757.76
4. Step 4: Simplify right side
   1,123.88x = 1,276,507.34
5. Step 5: Solve for x
   x = 1,276,507.34/1,123.88
6. Step 6: Final answer
   x = 1,135.80