Finding the Fourth Proportional to 5,641.92, 7,778.63 and 3,870.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.92 : 7,778.63 = 3,870.45 : x
2. Step 2: Convert to fraction form
   5,641.92/7,778.63 = 3,870.45/x
3. Step 3: Cross multiply
   5,641.92x = 7,778.63 × 3,870.45
4. Step 4: Simplify right side
   5,641.92x = 30,106,798.48
5. Step 5: Solve for x
   x = 30,106,798.48/5,641.92
6. Step 6: Final answer
   x = 5,336.27