Finding the Fourth Proportional to 10,585.14, 14,606.82 and 5,804.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.14 : 14,606.82 = 5,804.88 : x
2. Step 2: Convert to fraction form
   10,585.14/14,606.82 = 5,804.88/x
3. Step 3: Cross multiply
   10,585.14x = 14,606.82 × 5,804.88
4. Step 4: Simplify right side
   10,585.14x = 84,790,837.28
5. Step 5: Solve for x
   x = 84,790,837.28/10,585.14
6. Step 6: Final answer
   x = 8,010.37