Finding the Fourth Proportional to 5,298.40, 7,942.52 and 3,106.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,298.40 : 7,942.52 = 3,106.72 : x
2. Step 2: Convert to fraction form
   5,298.40/7,942.52 = 3,106.72/x
3. Step 3: Cross multiply
   5,298.40x = 7,942.52 × 3,106.72
4. Step 4: Simplify right side
   5,298.40x = 24,675,185.73
5. Step 5: Solve for x
   x = 24,675,185.73/5,298.40
6. Step 6: Final answer
   x = 4,657.10