Finding the Fourth Proportional to 4,947.84, 6,822.24 and 4,109.52

Step by Step Solution

1. Step 1: Write the proportion equation
   4,947.84 : 6,822.24 = 4,109.52 : x
2. Step 2: Convert to fraction form
   4,947.84/6,822.24 = 4,109.52/x
3. Step 3: Cross multiply
   4,947.84x = 6,822.24 × 4,109.52
4. Step 4: Simplify right side
   4,947.84x = 28,036,131.72
5. Step 5: Solve for x
   x = 28,036,131.72/4,947.84
6. Step 6: Final answer
   x = 5,666.34