Finding the Fourth Proportional to 10,573.84, 15,863.50 and 5,642.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,573.84 : 15,863.50 = 5,642.16 : x
2. Step 2: Convert to fraction form
   10,573.84/15,863.50 = 5,642.16/x
3. Step 3: Cross multiply
   10,573.84x = 15,863.50 × 5,642.16
4. Step 4: Simplify right side
   10,573.84x = 89,504,320.99
5. Step 5: Solve for x
   x = 89,504,320.99/10,573.84
6. Step 6: Final answer
   x = 8,464.69