Finding the Fourth Proportional to 5,188.50, 7,162.83 and 3,200.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,188.50 : 7,162.83 = 3,200.13 : x
2. Step 2: Convert to fraction form
   5,188.50/7,162.83 = 3,200.13/x
3. Step 3: Cross multiply
   5,188.50x = 7,162.83 × 3,200.13
4. Step 4: Simplify right side
   5,188.50x = 22,921,987.17
5. Step 5: Solve for x
   x = 22,921,987.17/5,188.50
6. Step 6: Final answer
   x = 4,417.84