Finding the Fourth Proportional to 13,584.83, 18,747.10 and 7,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,584.83 : 18,747.10 = 7,535.50 : x
2. Step 2: Convert to fraction form
   13,584.83/18,747.10 = 7,535.50/x
3. Step 3: Cross multiply
   13,584.83x = 18,747.10 × 7,535.50
4. Step 4: Simplify right side
   13,584.83x = 141,268,706.34
5. Step 5: Solve for x
   x = 141,268,706.34/13,584.83
6. Step 6: Final answer
   x = 10,399.00