Finding the Fourth Proportional to 5,200.59, 7,798.50 and 2,077.97

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.59 : 7,798.50 = 2,077.97 : x
2. Step 2: Convert to fraction form
   5,200.59/7,798.50 = 2,077.97/x
3. Step 3: Cross multiply
   5,200.59x = 7,798.50 × 2,077.97
4. Step 4: Simplify right side
   5,200.59x = 16,205,013.71
5. Step 5: Solve for x
   x = 16,205,013.71/5,200.59
6. Step 6: Final answer
   x = 3,115.99