Finding the Fourth Proportional to 9,649.88, 14,477.16 and 3,806.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.88 : 14,477.16 = 3,806.72 : x
2. Step 2: Convert to fraction form
   9,649.88/14,477.16 = 3,806.72/x
3. Step 3: Cross multiply
   9,649.88x = 14,477.16 × 3,806.72
4. Step 4: Simplify right side
   9,649.88x = 55,110,494.52
5. Step 5: Solve for x
   x = 55,110,494.52/9,649.88
6. Step 6: Final answer
   x = 5,711.00