Finding the Fourth Proportional to 3,910.78, 5,870.30 and 3,822.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,910.78 : 5,870.30 = 3,822.63 : x
2. Step 2: Convert to fraction form
   3,910.78/5,870.30 = 3,822.63/x
3. Step 3: Cross multiply
   3,910.78x = 5,870.30 × 3,822.63
4. Step 4: Simplify right side
   3,910.78x = 22,439,984.89
5. Step 5: Solve for x
   x = 22,439,984.89/3,910.78
6. Step 6: Final answer
   x = 5,737.98