Finding the Fourth Proportional to 9,338.64, 12,886.78 and 5,359.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,338.64 : 12,886.78 = 5,359.38 : x
2. Step 2: Convert to fraction form
   9,338.64/12,886.78 = 5,359.38/x
3. Step 3: Cross multiply
   9,338.64x = 12,886.78 × 5,359.38
4. Step 4: Simplify right side
   9,338.64x = 69,065,151.00
5. Step 5: Solve for x
   x = 69,065,151.00/9,338.64
6. Step 6: Final answer
   x = 7,395.63