Finding the Fourth Proportional to 9,626.96, 13,281.25 and 5,849.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,626.96 : 13,281.25 = 5,849.52 : x
2. Step 2: Convert to fraction form
   9,626.96/13,281.25 = 5,849.52/x
3. Step 3: Cross multiply
   9,626.96x = 13,281.25 × 5,849.52
4. Step 4: Simplify right side
   9,626.96x = 77,688,937.50
5. Step 5: Solve for x
   x = 77,688,937.50/9,626.96
6. Step 6: Final answer
   x = 8,069.93