Finding the Fourth Proportional to 13,584.56, 18,746.57 and 7,616.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13,584.56 : 18,746.57 = 7,616.27 : x
2. Step 2: Convert to fraction form
   13,584.56/18,746.57 = 7,616.27/x
3. Step 3: Cross multiply
   13,584.56x = 18,746.57 × 7,616.27
4. Step 4: Simplify right side
   13,584.56x = 142,779,004.60
5. Step 5: Solve for x
   x = 142,779,004.60/13,584.56
6. Step 6: Final answer
   x = 10,510.39