Finding the Fourth Proportional to 10,584, 14,605.92 and 5,868.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 14,605.92 = 5,868.59 : x
2. Step 2: Convert to fraction form
   10,584/14,605.92 = 5,868.59/x
3. Step 3: Cross multiply
   10,584x = 14,605.92 × 5,868.59
4. Step 4: Simplify right side
   10,584x = 85,716,083.02
5. Step 5: Solve for x
   x = 85,716,083.02/10,584
6. Step 6: Final answer
   x = 8,098.65