Finding the Fourth Proportional to 1,165.50, 1,745.40 and 1,123.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.50 : 1,745.40 = 1,123.56 : x
2. Step 2: Convert to fraction form
   1,165.50/1,745.40 = 1,123.56/x
3. Step 3: Cross multiply
   1,165.50x = 1,745.40 × 1,123.56
4. Step 4: Simplify right side
   1,165.50x = 1,961,061.62
5. Step 5: Solve for x
   x = 1,961,061.62/1,165.50
6. Step 6: Final answer
   x = 1,682.59