Finding the Fourth Proportional to 10,580.14, 14,601.09 and 5,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580.14 : 14,601.09 = 5,864.50 : x
2. Step 2: Convert to fraction form
   10,580.14/14,601.09 = 5,864.50/x
3. Step 3: Cross multiply
   10,580.14x = 14,601.09 × 5,864.50
4. Step 4: Simplify right side
   10,580.14x = 85,628,092.31
5. Step 5: Solve for x
   x = 85,628,092.31/10,580.14
6. Step 6: Final answer
   x = 8,093.29