Finding the Fourth Proportional to 5,925.20, 8,178.90 and 3,802.28

Step by Step Solution

1. Step 1: Write the proportion equation
   5,925.20 : 8,178.90 = 3,802.28 : x
2. Step 2: Convert to fraction form
   5,925.20/8,178.90 = 3,802.28/x
3. Step 3: Cross multiply
   5,925.20x = 8,178.90 × 3,802.28
4. Step 4: Simplify right side
   5,925.20x = 31,098,467.89
5. Step 5: Solve for x
   x = 31,098,467.89/5,925.20
6. Step 6: Final answer
   x = 5,248.51