Finding the Fourth Proportional to 2,510.78, 3,766.20 and 1,194.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510.78 : 3,766.20 = 1,194.68 : x
2. Step 2: Convert to fraction form
   2,510.78/3,766.20 = 1,194.68/x
3. Step 3: Cross multiply
   2,510.78x = 3,766.20 × 1,194.68
4. Step 4: Simplify right side
   2,510.78x = 4,499,384.99
5. Step 5: Solve for x
   x = 4,499,384.99/2,510.78
6. Step 6: Final answer
   x = 1,792.03