Finding the Fourth Proportional to 9,038.76, 12,472.66 and 5,635.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,038.76 : 12,472.66 = 5,635.48 : x
2. Step 2: Convert to fraction form
   9,038.76/12,472.66 = 5,635.48/x
3. Step 3: Cross multiply
   9,038.76x = 12,472.66 × 5,635.48
4. Step 4: Simplify right side
   9,038.76x = 70,289,425.98
5. Step 5: Solve for x
   x = 70,289,425.98/9,038.76
6. Step 6: Final answer
   x = 7,776.45