Finding the Fourth Proportional to 9,255.22, 12,776.42 and 5,902.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,255.22 : 12,776.42 = 5,902.63 : x
2. Step 2: Convert to fraction form
   9,255.22/12,776.42 = 5,902.63/x
3. Step 3: Cross multiply
   9,255.22x = 12,776.42 × 5,902.63
4. Step 4: Simplify right side
   9,255.22x = 75,414,479.98
5. Step 5: Solve for x
   x = 75,414,479.98/9,255.22
6. Step 6: Final answer
   x = 8,148.32