Finding the Fourth Proportional to 9,278.04, 12,796.47 and 5,743.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,278.04 : 12,796.47 = 5,743.20 : x
2. Step 2: Convert to fraction form
   9,278.04/12,796.47 = 5,743.20/x
3. Step 3: Cross multiply
   9,278.04x = 12,796.47 × 5,743.20
4. Step 4: Simplify right side
   9,278.04x = 73,492,686.50
5. Step 5: Solve for x
   x = 73,492,686.50/9,278.04
6. Step 6: Final answer
   x = 7,921.14