Finding the Fourth Proportional to 9,248.96, 12,763.28 and 5,665.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,248.96 : 12,763.28 = 5,665.28 : x
2. Step 2: Convert to fraction form
   9,248.96/12,763.28 = 5,665.28/x
3. Step 3: Cross multiply
   9,248.96x = 12,763.28 × 5,665.28
4. Step 4: Simplify right side
   9,248.96x = 72,307,554.92
5. Step 5: Solve for x
   x = 72,307,554.92/9,248.96
6. Step 6: Final answer
   x = 7,817.91