Finding the Fourth Proportional to 22,184, 33,278.16 and 5,768

Step by Step Solution

1. Step 1: Write the proportion equation
   22,184 : 33,278.16 = 5,768 : x
2. Step 2: Convert to fraction form
   22,184/33,278.16 = 5,768/x
3. Step 3: Cross multiply
   22,184x = 33,278.16 × 5,768
4. Step 4: Simplify right side
   22,184x = 191,948,426.88
5. Step 5: Solve for x
   x = 191,948,426.88/22,184
6. Step 6: Final answer
   x = 8,652.56