Finding the Fourth Proportional to 14,612.27, 21,910.56 and 7,585.20

Step by Step Solution

1. Step 1: Write the proportion equation
   14,612.27 : 21,910.56 = 7,585.20 : x
2. Step 2: Convert to fraction form
   14,612.27/21,910.56 = 7,585.20/x
3. Step 3: Cross multiply
   14,612.27x = 21,910.56 × 7,585.20
4. Step 4: Simplify right side
   14,612.27x = 166,195,979.71
5. Step 5: Solve for x
   x = 166,195,979.71/14,612.27
6. Step 6: Final answer
   x = 11,373.73