Finding the Fourth Proportional to 8,538.72, 12,800.50 and 4,592.09

Step by Step Solution

1. Step 1: Write the proportion equation
   8,538.72 : 12,800.50 = 4,592.09 : x
2. Step 2: Convert to fraction form
   8,538.72/12,800.50 = 4,592.09/x
3. Step 3: Cross multiply
   8,538.72x = 12,800.50 × 4,592.09
4. Step 4: Simplify right side
   8,538.72x = 58,781,048.05
5. Step 5: Solve for x
   x = 58,781,048.05/8,538.72
6. Step 6: Final answer
   x = 6,884.06