Finding the Fourth Proportional to 10,569.22, 14,585.55 and 5,724.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569.22 : 14,585.55 = 5,724.01 : x
2. Step 2: Convert to fraction form
   10,569.22/14,585.55 = 5,724.01/x
3. Step 3: Cross multiply
   10,569.22x = 14,585.55 × 5,724.01
4. Step 4: Simplify right side
   10,569.22x = 83,487,834.06
5. Step 5: Solve for x
   x = 83,487,834.06/10,569.22
6. Step 6: Final answer
   x = 7,899.15