Finding the Fourth Proportional to 9,362.88, 12,919.71 and 5,385.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,362.88 : 12,919.71 = 5,385.30 : x
2. Step 2: Convert to fraction form
   9,362.88/12,919.71 = 5,385.30/x
3. Step 3: Cross multiply
   9,362.88x = 12,919.71 × 5,385.30
4. Step 4: Simplify right side
   9,362.88x = 69,576,514.26
5. Step 5: Solve for x
   x = 69,576,514.26/9,362.88
6. Step 6: Final answer
   x = 7,431.10