Finding the Fourth Proportional to 1,123.53, 1,684.14 and 758.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.53 : 1,684.14 = 758.35 : x
2. Step 2: Convert to fraction form
   1,123.53/1,684.14 = 758.35/x
3. Step 3: Cross multiply
   1,123.53x = 1,684.14 × 758.35
4. Step 4: Simplify right side
   1,123.53x = 1,277,167.57
5. Step 5: Solve for x
   x = 1,277,167.57/1,123.53
6. Step 6: Final answer
   x = 1,136.75