Finding the Fourth Proportional to 13,635.98, 18,816.22 and 7,585.24

Step by Step Solution

1. Step 1: Write the proportion equation
   13,635.98 : 18,816.22 = 7,585.24 : x
2. Step 2: Convert to fraction form
   13,635.98/18,816.22 = 7,585.24/x
3. Step 3: Cross multiply
   13,635.98x = 18,816.22 × 7,585.24
4. Step 4: Simplify right side
   13,635.98x = 142,725,478.59
5. Step 5: Solve for x
   x = 142,725,478.59/13,635.98
6. Step 6: Final answer
   x = 10,466.83