Finding the Fourth Proportional to 1,223.76, 1,688.94 and 758.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.76 : 1,688.94 = 758.10 : x
2. Step 2: Convert to fraction form
   1,223.76/1,688.94 = 758.10/x
3. Step 3: Cross multiply
   1,223.76x = 1,688.94 × 758.10
4. Step 4: Simplify right side
   1,223.76x = 1,280,385.41
5. Step 5: Solve for x
   x = 1,280,385.41/1,223.76
6. Step 6: Final answer
   x = 1,046.27