Finding the Fourth Proportional to 5,200.72, 7,800.96 and 2,601.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.72 : 7,800.96 = 2,601.76 : x
2. Step 2: Convert to fraction form
   5,200.72/7,800.96 = 2,601.76/x
3. Step 3: Cross multiply
   5,200.72x = 7,800.96 × 2,601.76
4. Step 4: Simplify right side
   5,200.72x = 20,296,225.69
5. Step 5: Solve for x
   x = 20,296,225.69/5,200.72
6. Step 6: Final answer
   x = 3,902.58