Finding the Fourth Proportional to 5,200.06, 7,798.69 and 2,424.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.06 : 7,798.69 = 2,424.02 : x
2. Step 2: Convert to fraction form
   5,200.06/7,798.69 = 2,424.02/x
3. Step 3: Cross multiply
   5,200.06x = 7,798.69 × 2,424.02
4. Step 4: Simplify right side
   5,200.06x = 18,904,168.41
5. Step 5: Solve for x
   x = 18,904,168.41/5,200.06
6. Step 6: Final answer
   x = 3,635.38