Finding the Fourth Proportional to 5,200.35, 7,797.94 and 2,978.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.35 : 7,797.94 = 2,978.83 : x
2. Step 2: Convert to fraction form
   5,200.35/7,797.94 = 2,978.83/x
3. Step 3: Cross multiply
   5,200.35x = 7,797.94 × 2,978.83
4. Step 4: Simplify right side
   5,200.35x = 23,228,737.61
5. Step 5: Solve for x
   x = 23,228,737.61/5,200.35
6. Step 6: Final answer
   x = 4,466.76