Finding the Fourth Proportional to 9,269.17, 12,791.64 and 5,077.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,269.17 : 12,791.64 = 5,077.42 : x
2. Step 2: Convert to fraction form
   9,269.17/12,791.64 = 5,077.42/x
3. Step 3: Cross multiply
   9,269.17x = 12,791.64 × 5,077.42
4. Step 4: Simplify right side
   9,269.17x = 64,948,528.77
5. Step 5: Solve for x
   x = 64,948,528.77/9,269.17
6. Step 6: Final answer
   x = 7,006.94