Finding the Fourth Proportional to 9,349.92, 12,902.56 and 5,623.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,349.92 : 12,902.56 = 5,623.20 : x
2. Step 2: Convert to fraction form
   9,349.92/12,902.56 = 5,623.20/x
3. Step 3: Cross multiply
   9,349.92x = 12,902.56 × 5,623.20
4. Step 4: Simplify right side
   9,349.92x = 72,553,675.39
5. Step 5: Solve for x
   x = 72,553,675.39/9,349.92
6. Step 6: Final answer
   x = 7,759.82