Finding the Fourth Proportional to 1,863.09, 2,792.45 and 766.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,863.09 : 2,792.45 = 766.10 : x
2. Step 2: Convert to fraction form
   1,863.09/2,792.45 = 766.10/x
3. Step 3: Cross multiply
   1,863.09x = 2,792.45 × 766.10
4. Step 4: Simplify right side
   1,863.09x = 2,139,278.15
5. Step 5: Solve for x
   x = 2,139,278.15/1,863.09
6. Step 6: Final answer
   x = 1,148.24