Finding the Fourth Proportional to 5,216.06, 7,825.59 and 2,584.37

Step by Step Solution

1. Step 1: Write the proportion equation
   5,216.06 : 7,825.59 = 2,584.37 : x
2. Step 2: Convert to fraction form
   5,216.06/7,825.59 = 2,584.37/x
3. Step 3: Cross multiply
   5,216.06x = 7,825.59 × 2,584.37
4. Step 4: Simplify right side
   5,216.06x = 20,224,239.59
5. Step 5: Solve for x
   x = 20,224,239.59/5,216.06
6. Step 6: Final answer
   x = 3,877.30