Finding the Fourth Proportional to 9,342.24, 12,886.20 and 5,616.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,342.24 : 12,886.20 = 5,616.24 : x
2. Step 2: Convert to fraction form
   9,342.24/12,886.20 = 5,616.24/x
3. Step 3: Cross multiply
   9,342.24x = 12,886.20 × 5,616.24
4. Step 4: Simplify right side
   9,342.24x = 72,371,991.89
5. Step 5: Solve for x
   x = 72,371,991.89/9,342.24
6. Step 6: Final answer
   x = 7,746.75