Finding the Fourth Proportional to 13,585.82, 18,748.43 and 7,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,585.82 : 18,748.43 = 7,617.50 : x
2. Step 2: Convert to fraction form
   13,585.82/18,748.43 = 7,617.50/x
3. Step 3: Cross multiply
   13,585.82x = 18,748.43 × 7,617.50
4. Step 4: Simplify right side
   13,585.82x = 142,816,033.70
5. Step 5: Solve for x
   x = 142,816,033.70/13,585.82
6. Step 6: Final answer
   x = 10,512.14