Finding the Fourth Proportional to 9,256.68, 12,775.46 and 5,278.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.68 : 12,775.46 = 5,278.10 : x
2. Step 2: Convert to fraction form
   9,256.68/12,775.46 = 5,278.10/x
3. Step 3: Cross multiply
   9,256.68x = 12,775.46 × 5,278.10
4. Step 4: Simplify right side
   9,256.68x = 67,430,065.16
5. Step 5: Solve for x
   x = 67,430,065.16/9,256.68
6. Step 6: Final answer
   x = 7,284.48