Finding the Fourth Proportional to 6,182.72, 9,277.92 and 4,535.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,182.72 : 9,277.92 = 4,535.20 : x
2. Step 2: Convert to fraction form
   6,182.72/9,277.92 = 4,535.20/x
3. Step 3: Cross multiply
   6,182.72x = 9,277.92 × 4,535.20
4. Step 4: Simplify right side
   6,182.72x = 42,077,222.78
5. Step 5: Solve for x
   x = 42,077,222.78/6,182.72
6. Step 6: Final answer
   x = 6,805.62