Finding the Fourth Proportional to 11,649.88, 16,071.06 and 7,406.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,649.88 : 16,071.06 = 7,406.20 : x
2. Step 2: Convert to fraction form
   11,649.88/16,071.06 = 7,406.20/x
3. Step 3: Cross multiply
   11,649.88x = 16,071.06 × 7,406.20
4. Step 4: Simplify right side
   11,649.88x = 119,025,484.57
5. Step 5: Solve for x
   x = 119,025,484.57/11,649.88
6. Step 6: Final answer
   x = 10,216.89