Finding the Fourth Proportional to 3,789.56, 5,680.84 and 3,478.21

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.56 : 5,680.84 = 3,478.21 : x
2. Step 2: Convert to fraction form
   3,789.56/5,680.84 = 3,478.21/x
3. Step 3: Cross multiply
   3,789.56x = 5,680.84 × 3,478.21
4. Step 4: Simplify right side
   3,789.56x = 19,759,152.90
5. Step 5: Solve for x
   x = 19,759,152.90/3,789.56
6. Step 6: Final answer
   x = 5,214.11