Finding the Fourth Proportional to 1,166.57, 1,747.89 and 1,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.57 : 1,747.89 = 1,123.50 : x
2. Step 2: Convert to fraction form
   1,166.57/1,747.89 = 1,123.50/x
3. Step 3: Cross multiply
   1,166.57x = 1,747.89 × 1,123.50
4. Step 4: Simplify right side
   1,166.57x = 1,963,754.42
5. Step 5: Solve for x
   x = 1,963,754.42/1,166.57
6. Step 6: Final answer
   x = 1,683.36