Finding the Fourth Proportional to 5,200.59, 7,798.15 and 4,473.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.59 : 7,798.15 = 4,473.42 : x
2. Step 2: Convert to fraction form
   5,200.59/7,798.15 = 4,473.42/x
3. Step 3: Cross multiply
   5,200.59x = 7,798.15 × 4,473.42
4. Step 4: Simplify right side
   5,200.59x = 34,884,400.17
5. Step 5: Solve for x
   x = 34,884,400.17/5,200.59
6. Step 6: Final answer
   x = 6,707.78