Finding the Fourth Proportional to 9,722.48, 14,585.16 and 3,566

Step by Step Solution

1. Step 1: Write the proportion equation
   9,722.48 : 14,585.16 = 3,566 : x
2. Step 2: Convert to fraction form
   9,722.48/14,585.16 = 3,566/x
3. Step 3: Cross multiply
   9,722.48x = 14,585.16 × 3,566
4. Step 4: Simplify right side
   9,722.48x = 52,010,680.56
5. Step 5: Solve for x
   x = 52,010,680.56/9,722.48
6. Step 6: Final answer
   x = 5,349.53