Finding the Fourth Proportional to 9,380.88, 12,946.50 and 5,404.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.88 : 12,946.50 = 5,404.32 : x
2. Step 2: Convert to fraction form
   9,380.88/12,946.50 = 5,404.32/x
3. Step 3: Cross multiply
   9,380.88x = 12,946.50 × 5,404.32
4. Step 4: Simplify right side
   9,380.88x = 69,967,028.88
5. Step 5: Solve for x
   x = 69,967,028.88/9,380.88
6. Step 6: Final answer
   x = 7,458.47