Finding the Fourth Proportional to 9,338.38, 12,886.96 and 5,146.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,338.38 : 12,886.96 = 5,146.72 : x
2. Step 2: Convert to fraction form
   9,338.38/12,886.96 = 5,146.72/x
3. Step 3: Cross multiply
   9,338.38x = 12,886.96 × 5,146.72
4. Step 4: Simplify right side
   9,338.38x = 66,325,510.34
5. Step 5: Solve for x
   x = 66,325,510.34/9,338.38
6. Step 6: Final answer
   x = 7,102.47