Finding the Fourth Proportional to 9,338.16, 12,886.71 and 5,146.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,338.16 : 12,886.71 = 5,146.41 : x
2. Step 2: Convert to fraction form
   9,338.16/12,886.71 = 5,146.41/x
3. Step 3: Cross multiply
   9,338.16x = 12,886.71 × 5,146.41
4. Step 4: Simplify right side
   9,338.16x = 66,320,293.21
5. Step 5: Solve for x
   x = 66,320,293.21/9,338.16
6. Step 6: Final answer
   x = 7,102.07