Finding the Fourth Proportional to 1,792.50, 2,689.83 and 766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,792.50 : 2,689.83 = 766.50 : x
2. Step 2: Convert to fraction form
   1,792.50/2,689.83 = 766.50/x
3. Step 3: Cross multiply
   1,792.50x = 2,689.83 × 766.50
4. Step 4: Simplify right side
   1,792.50x = 2,061,754.70
5. Step 5: Solve for x
   x = 2,061,754.70/1,792.50
6. Step 6: Final answer
   x = 1,150.21