Finding the Fourth Proportional to 6,477.18, 8,938.71 and 3,682.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,477.18 : 8,938.71 = 3,682.86 : x
2. Step 2: Convert to fraction form
   6,477.18/8,938.71 = 3,682.86/x
3. Step 3: Cross multiply
   6,477.18x = 8,938.71 × 3,682.86
4. Step 4: Simplify right side
   6,477.18x = 32,920,017.51
5. Step 5: Solve for x
   x = 32,920,017.51/6,477.18
6. Step 6: Final answer
   x = 5,082.46