Finding the Fourth Proportional to 2,527.80, 3,792.28 and 796.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.80 : 3,792.28 = 796.38 : x
2. Step 2: Convert to fraction form
   2,527.80/3,792.28 = 796.38/x
3. Step 3: Cross multiply
   2,527.80x = 3,792.28 × 796.38
4. Step 4: Simplify right side
   2,527.80x = 3,020,095.95
5. Step 5: Solve for x
   x = 3,020,095.95/2,527.80
6. Step 6: Final answer
   x = 1,194.75