Finding the Fourth Proportional to 1,861.65, 2,792.37 and 766.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,861.65 : 2,792.37 = 766.02 : x
2. Step 2: Convert to fraction form
   1,861.65/2,792.37 = 766.02/x
3. Step 3: Cross multiply
   1,861.65x = 2,792.37 × 766.02
4. Step 4: Simplify right side
   1,861.65x = 2,139,024.61
5. Step 5: Solve for x
   x = 2,139,024.61/1,861.65
6. Step 6: Final answer
   x = 1,148.99