Finding the Fourth Proportional to 1,337.50, 1,846.16 and 748.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.50 : 1,846.16 = 748.23 : x
2. Step 2: Convert to fraction form
   1,337.50/1,846.16 = 748.23/x
3. Step 3: Cross multiply
   1,337.50x = 1,846.16 × 748.23
4. Step 4: Simplify right side
   1,337.50x = 1,381,352.30
5. Step 5: Solve for x
   x = 1,381,352.30/1,337.50
6. Step 6: Final answer
   x = 1,032.79