Finding the Fourth Proportional to 1,863.01, 2,792.89 and 766.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,863.01 : 2,792.89 = 766.61 : x
2. Step 2: Convert to fraction form
   1,863.01/2,792.89 = 766.61/x
3. Step 3: Cross multiply
   1,863.01x = 2,792.89 × 766.61
4. Step 4: Simplify right side
   1,863.01x = 2,141,057.40
5. Step 5: Solve for x
   x = 2,141,057.40/1,863.01
6. Step 6: Final answer
   x = 1,149.25