Finding the Fourth Proportional to 10,584.86, 14,607.06 and 5,804.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.86 : 14,607.06 = 5,804.78 : x
2. Step 2: Convert to fraction form
   10,584.86/14,607.06 = 5,804.78/x
3. Step 3: Cross multiply
   10,584.86x = 14,607.06 × 5,804.78
4. Step 4: Simplify right side
   10,584.86x = 84,790,769.75
5. Step 5: Solve for x
   x = 84,790,769.75/10,584.86
6. Step 6: Final answer
   x = 8,010.57