Finding the Fourth Proportional to 1,265.34, 1,746.15 and 767.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.34 : 1,746.15 = 767.91 : x
2. Step 2: Convert to fraction form
   1,265.34/1,746.15 = 767.91/x
3. Step 3: Cross multiply
   1,265.34x = 1,746.15 × 767.91
4. Step 4: Simplify right side
   1,265.34x = 1,340,886.05
5. Step 5: Solve for x
   x = 1,340,886.05/1,265.34
6. Step 6: Final answer
   x = 1,059.70