Finding the Fourth Proportional to 1,861.38, 2,791.98 and 766.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,861.38 : 2,791.98 = 766.62 : x
2. Step 2: Convert to fraction form
   1,861.38/2,791.98 = 766.62/x
3. Step 3: Cross multiply
   1,861.38x = 2,791.98 × 766.62
4. Step 4: Simplify right side
   1,861.38x = 2,140,387.71
5. Step 5: Solve for x
   x = 2,140,387.71/1,861.38
6. Step 6: Final answer
   x = 1,149.89