Finding the Fourth Proportional to 1,256.25, 1,733.67 and 758.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.25 : 1,733.67 = 758.91 : x
2. Step 2: Convert to fraction form
   1,256.25/1,733.67 = 758.91/x
3. Step 3: Cross multiply
   1,256.25x = 1,733.67 × 758.91
4. Step 4: Simplify right side
   1,256.25x = 1,315,699.50
5. Step 5: Solve for x
   x = 1,315,699.50/1,256.25
6. Step 6: Final answer
   x = 1,047.32