Finding the Fourth Proportional to 10,564.74, 14,579.33 and 5,784.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.74 : 14,579.33 = 5,784.66 : x
2. Step 2: Convert to fraction form
   10,564.74/14,579.33 = 5,784.66/x
3. Step 3: Cross multiply
   10,564.74x = 14,579.33 × 5,784.66
4. Step 4: Simplify right side
   10,564.74x = 84,336,438.15
5. Step 5: Solve for x
   x = 84,336,438.15/10,564.74
6. Step 6: Final answer
   x = 7,982.82