Finding the Fourth Proportional to 2,527.86, 3,791.25 and 772.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.86 : 3,791.25 = 772.47 : x
2. Step 2: Convert to fraction form
   2,527.86/3,791.25 = 772.47/x
3. Step 3: Cross multiply
   2,527.86x = 3,791.25 × 772.47
4. Step 4: Simplify right side
   2,527.86x = 2,928,626.89
5. Step 5: Solve for x
   x = 2,928,626.89/2,527.86
6. Step 6: Final answer
   x = 1,158.54