Finding the Fourth Proportional to 10,584.50, 14,606.66 and 5,804.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.50 : 14,606.66 = 5,804.52 : x
2. Step 2: Convert to fraction form
   10,584.50/14,606.66 = 5,804.52/x
3. Step 3: Cross multiply
   10,584.50x = 14,606.66 × 5,804.52
4. Step 4: Simplify right side
   10,584.50x = 84,784,650.10
5. Step 5: Solve for x
   x = 84,784,650.10/10,584.50
6. Step 6: Final answer
   x = 8,010.27