Finding the Fourth Proportional to 9,269.46, 12,791.81 and 5,077.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,269.46 : 12,791.81 = 5,077.71 : x
2. Step 2: Convert to fraction form
   9,269.46/12,791.81 = 5,077.71/x
3. Step 3: Cross multiply
   9,269.46x = 12,791.81 × 5,077.71
4. Step 4: Simplify right side
   9,269.46x = 64,953,114.25
5. Step 5: Solve for x
   x = 64,953,114.25/9,269.46
6. Step 6: Final answer
   x = 7,007.22