Finding the Fourth Proportional to 6,506.42, 8,978.29 and 3,853.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.42 : 8,978.29 = 3,853.38 : x
2. Step 2: Convert to fraction form
   6,506.42/8,978.29 = 3,853.38/x
3. Step 3: Cross multiply
   6,506.42x = 8,978.29 × 3,853.38
4. Step 4: Simplify right side
   6,506.42x = 34,596,763.12
5. Step 5: Solve for x
   x = 34,596,763.12/6,506.42
6. Step 6: Final answer
   x = 5,317.33