Finding the Fourth Proportional to 3,779.59, 5,640.80 and 3,681.17

Step by Step Solution

1. Step 1: Write the proportion equation
   3,779.59 : 5,640.80 = 3,681.17 : x
2. Step 2: Convert to fraction form
   3,779.59/5,640.80 = 3,681.17/x
3. Step 3: Cross multiply
   3,779.59x = 5,640.80 × 3,681.17
4. Step 4: Simplify right side
   3,779.59x = 20,764,725.33
5. Step 5: Solve for x
   x = 20,764,725.33/3,779.59
6. Step 6: Final answer
   x = 5,493.92