Finding the Fourth Proportional to 5,827.20, 8,022.96 and 5,429.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,827.20 : 8,022.96 = 5,429.76 : x
2. Step 2: Convert to fraction form
   5,827.20/8,022.96 = 5,429.76/x
3. Step 3: Cross multiply
   5,827.20x = 8,022.96 × 5,429.76
4. Step 4: Simplify right side
   5,827.20x = 43,562,747.29
5. Step 5: Solve for x
   x = 43,562,747.29/5,827.20
6. Step 6: Final answer
   x = 7,475.76