Finding the Fourth Proportional to 1,256.34, 1,733.77 and 758.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.34 : 1,733.77 = 758.89 : x
2. Step 2: Convert to fraction form
   1,256.34/1,733.77 = 758.89/x
3. Step 3: Cross multiply
   1,256.34x = 1,733.77 × 758.89
4. Step 4: Simplify right side
   1,256.34x = 1,315,728.25
5. Step 5: Solve for x
   x = 1,315,728.25/1,256.34
6. Step 6: Final answer
   x = 1,047.27