Finding the Fourth Proportional to 5,684.32, 8,522.24 and 3,830.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684.32 : 8,522.24 = 3,830.24 : x
2. Step 2: Convert to fraction form
   5,684.32/8,522.24 = 3,830.24/x
3. Step 3: Cross multiply
   5,684.32x = 8,522.24 × 3,830.24
4. Step 4: Simplify right side
   5,684.32x = 32,642,224.54
5. Step 5: Solve for x
   x = 32,642,224.54/5,684.32
6. Step 6: Final answer
   x = 5,742.50