Finding the Fourth Proportional to 9,251.82, 12,763.98 and 5,663.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,251.82 : 12,763.98 = 5,663.52 : x
2. Step 2: Convert to fraction form
   9,251.82/12,763.98 = 5,663.52/x
3. Step 3: Cross multiply
   9,251.82x = 12,763.98 × 5,663.52
4. Step 4: Simplify right side
   9,251.82x = 72,289,056.01
5. Step 5: Solve for x
   x = 72,289,056.01/9,251.82
6. Step 6: Final answer
   x = 7,813.50