Finding the Fourth Proportional to 10,564.65, 14,580.18 and 5,849.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.65 : 14,580.18 = 5,849.82 : x
2. Step 2: Convert to fraction form
   10,564.65/14,580.18 = 5,849.82/x
3. Step 3: Cross multiply
   10,564.65x = 14,580.18 × 5,849.82
4. Step 4: Simplify right side
   10,564.65x = 85,291,428.57
5. Step 5: Solve for x
   x = 85,291,428.57/10,564.65
6. Step 6: Final answer
   x = 8,073.28