Finding the Fourth Proportional to 6,402.48, 8,832.28 and 4,278.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,402.48 : 8,832.28 = 4,278.53 : x
2. Step 2: Convert to fraction form
   6,402.48/8,832.28 = 4,278.53/x
3. Step 3: Cross multiply
   6,402.48x = 8,832.28 × 4,278.53
4. Step 4: Simplify right side
   6,402.48x = 37,789,109.39
5. Step 5: Solve for x
   x = 37,789,109.39/6,402.48
6. Step 6: Final answer
   x = 5,902.27