Finding the Fourth Proportional to 10,584.15, 14,605.16 and 5,867.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.15 : 14,605.16 = 5,867.52 : x
2. Step 2: Convert to fraction form
   10,584.15/14,605.16 = 5,867.52/x
3. Step 3: Cross multiply
   10,584.15x = 14,605.16 × 5,867.52
4. Step 4: Simplify right side
   10,584.15x = 85,696,039.07
5. Step 5: Solve for x
   x = 85,696,039.07/10,584.15
6. Step 6: Final answer
   x = 8,096.64