Finding the Fourth Proportional to 5,685.50, 8,514 and 3,599.21

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685.50 : 8,514 = 3,599.21 : x
2. Step 2: Convert to fraction form
   5,685.50/8,514 = 3,599.21/x
3. Step 3: Cross multiply
   5,685.50x = 8,514 × 3,599.21
4. Step 4: Simplify right side
   5,685.50x = 30,643,631.37
5. Step 5: Solve for x
   x = 30,643,631.37/5,685.50
6. Step 6: Final answer
   x = 5,389.79