Finding the Fourth Proportional to 7,566.50, 10,441.43 and 4,209.05

Step by Step Solution

1. Step 1: Write the proportion equation
   7,566.50 : 10,441.43 = 4,209.05 : x
2. Step 2: Convert to fraction form
   7,566.50/10,441.43 = 4,209.05/x
3. Step 3: Cross multiply
   7,566.50x = 10,441.43 × 4,209.05
4. Step 4: Simplify right side
   7,566.50x = 43,948,443.47
5. Step 5: Solve for x
   x = 43,948,443.47/7,566.50
6. Step 6: Final answer
   x = 5,808.30