Finding the Fourth Proportional to 13,128.54, 19,646.55 and 8,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,128.54 : 19,646.55 = 8,200.50 : x
2. Step 2: Convert to fraction form
   13,128.54/19,646.55 = 8,200.50/x
3. Step 3: Cross multiply
   13,128.54x = 19,646.55 × 8,200.50
4. Step 4: Simplify right side
   13,128.54x = 161,111,533.28
5. Step 5: Solve for x
   x = 161,111,533.28/13,128.54
6. Step 6: Final answer
   x = 12,271.85