Finding the Fourth Proportional to 1,863.38, 2,793.72 and 766.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,863.38 : 2,793.72 = 766.46 : x
2. Step 2: Convert to fraction form
   1,863.38/2,793.72 = 766.46/x
3. Step 3: Cross multiply
   1,863.38x = 2,793.72 × 766.46
4. Step 4: Simplify right side
   1,863.38x = 2,141,274.63
5. Step 5: Solve for x
   x = 2,141,274.63/1,863.38
6. Step 6: Final answer
   x = 1,149.13