Finding the Fourth Proportional to 3,878.34, 5,818.74 and 3,646.26

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.34 : 5,818.74 = 3,646.26 : x
2. Step 2: Convert to fraction form
   3,878.34/5,818.74 = 3,646.26/x
3. Step 3: Cross multiply
   3,878.34x = 5,818.74 × 3,646.26
4. Step 4: Simplify right side
   3,878.34x = 21,216,638.91
5. Step 5: Solve for x
   x = 21,216,638.91/3,878.34
6. Step 6: Final answer
   x = 5,470.55