Finding the Fourth Proportional to 10,578.34, 14,597.49 and 5,797.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.34 : 14,597.49 = 5,797.35 : x
2. Step 2: Convert to fraction form
   10,578.34/14,597.49 = 5,797.35/x
3. Step 3: Cross multiply
   10,578.34x = 14,597.49 × 5,797.35
4. Step 4: Simplify right side
   10,578.34x = 84,626,758.65
5. Step 5: Solve for x
   x = 84,626,758.65/10,578.34
6. Step 6: Final answer
   x = 8,000.00