Finding the Fourth Proportional to 15,814.62, 21,824.06 and 9,101.57

Step by Step Solution

1. Step 1: Write the proportion equation
   15,814.62 : 21,824.06 = 9,101.57 : x
2. Step 2: Convert to fraction form
   15,814.62/21,824.06 = 9,101.57/x
3. Step 3: Cross multiply
   15,814.62x = 21,824.06 × 9,101.57
4. Step 4: Simplify right side
   15,814.62x = 198,633,055.15
5. Step 5: Solve for x
   x = 198,633,055.15/15,814.62
6. Step 6: Final answer
   x = 12,560.09