Finding the Fourth Proportional to 11,727.84, 16,180.20 and 7,250.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,727.84 : 16,180.20 = 7,250.16 : x
2. Step 2: Convert to fraction form
   11,727.84/16,180.20 = 7,250.16/x
3. Step 3: Cross multiply
   11,727.84x = 16,180.20 × 7,250.16
4. Step 4: Simplify right side
   11,727.84x = 117,309,038.83
5. Step 5: Solve for x
   x = 117,309,038.83/11,727.84
6. Step 6: Final answer
   x = 10,002.61