Finding the Fourth Proportional to 5,200.30, 7,171.77 and 4,314.70

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.30 : 7,171.77 = 4,314.70 : x
2. Step 2: Convert to fraction form
   5,200.30/7,171.77 = 4,314.70/x
3. Step 3: Cross multiply
   5,200.30x = 7,171.77 × 4,314.70
4. Step 4: Simplify right side
   5,200.30x = 30,944,036.02
5. Step 5: Solve for x
   x = 30,944,036.02/5,200.30
6. Step 6: Final answer
   x = 5,950.43