Finding the Fourth Proportional to 9,271.14, 12,791.97 and 5,637.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,271.14 : 12,791.97 = 5,637.08 : x
2. Step 2: Convert to fraction form
   9,271.14/12,791.97 = 5,637.08/x
3. Step 3: Cross multiply
   9,271.14x = 12,791.97 × 5,637.08
4. Step 4: Simplify right side
   9,271.14x = 72,109,294.29
5. Step 5: Solve for x
   x = 72,109,294.29/9,271.14
6. Step 6: Final answer
   x = 7,777.82