Finding the Fourth Proportional to 9,269.25, 12,791.61 and 5,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,269.25 : 12,791.61 = 5,077.50 : x
2. Step 2: Convert to fraction form
   9,269.25/12,791.61 = 5,077.50/x
3. Step 3: Cross multiply
   9,269.25x = 12,791.61 × 5,077.50
4. Step 4: Simplify right side
   9,269.25x = 64,949,399.78
5. Step 5: Solve for x
   x = 64,949,399.78/9,269.25
6. Step 6: Final answer
   x = 7,006.97