Finding the Fourth Proportional to 9,338.56, 12,887.22 and 5,146.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,338.56 : 12,887.22 = 5,146.78 : x
2. Step 2: Convert to fraction form
   9,338.56/12,887.22 = 5,146.78/x
3. Step 3: Cross multiply
   9,338.56x = 12,887.22 × 5,146.78
4. Step 4: Simplify right side
   9,338.56x = 66,327,686.15
5. Step 5: Solve for x
   x = 66,327,686.15/9,338.56
6. Step 6: Final answer
   x = 7,102.56