Finding the Fourth Proportional to 5,382.50, 8,020.89 and 5,206.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,382.50 : 8,020.89 = 5,206.32 : x
2. Step 2: Convert to fraction form
   5,382.50/8,020.89 = 5,206.32/x
3. Step 3: Cross multiply
   5,382.50x = 8,020.89 × 5,206.32
4. Step 4: Simplify right side
   5,382.50x = 41,759,320.02
5. Step 5: Solve for x
   x = 41,759,320.02/5,382.50
6. Step 6: Final answer
   x = 7,758.36