Finding the Fourth Proportional to 9,255.48, 12,776.76 and 5,902.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,255.48 : 12,776.76 = 5,902.86 : x
2. Step 2: Convert to fraction form
   9,255.48/12,776.76 = 5,902.86/x
3. Step 3: Cross multiply
   9,255.48x = 12,776.76 × 5,902.86
4. Step 4: Simplify right side
   9,255.48x = 75,419,425.53
5. Step 5: Solve for x
   x = 75,419,425.53/9,255.48
6. Step 6: Final answer
   x = 8,148.62