Finding the Fourth Proportional to 10,564.38, 14,579.01 and 5,784.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.38 : 14,579.01 = 5,784.24 : x
2. Step 2: Convert to fraction form
   10,564.38/14,579.01 = 5,784.24/x
3. Step 3: Cross multiply
   10,564.38x = 14,579.01 × 5,784.24
4. Step 4: Simplify right side
   10,564.38x = 84,328,492.80
5. Step 5: Solve for x
   x = 84,328,492.80/10,564.38
6. Step 6: Final answer
   x = 7,982.34