Finding the Fourth Proportional to 10,568.02, 14,584.10 and 5,788.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,568.02 : 14,584.10 = 5,788.17 : x
2. Step 2: Convert to fraction form
   10,568.02/14,584.10 = 5,788.17/x
3. Step 3: Cross multiply
   10,568.02x = 14,584.10 × 5,788.17
4. Step 4: Simplify right side
   10,568.02x = 84,415,250.10
5. Step 5: Solve for x
   x = 84,415,250.10/10,568.02
6. Step 6: Final answer
   x = 7,987.80