Finding the Fourth Proportional to 5,643.57, 7,790.82 and 3,758.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643.57 : 7,790.82 = 3,758.31 : x
2. Step 2: Convert to fraction form
   5,643.57/7,790.82 = 3,758.31/x
3. Step 3: Cross multiply
   5,643.57x = 7,790.82 × 3,758.31
4. Step 4: Simplify right side
   5,643.57x = 29,280,316.71
5. Step 5: Solve for x
   x = 29,280,316.71/5,643.57
6. Step 6: Final answer
   x = 5,188.26