Finding the Fourth Proportional to 9,806.24, 13,532.64 and 5,827.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,806.24 : 13,532.64 = 5,827.52 : x
2. Step 2: Convert to fraction form
   9,806.24/13,532.64 = 5,827.52/x
3. Step 3: Cross multiply
   9,806.24x = 13,532.64 × 5,827.52
4. Step 4: Simplify right side
   9,806.24x = 78,861,730.25
5. Step 5: Solve for x
   x = 78,861,730.25/9,806.24
6. Step 6: Final answer
   x = 8,041.99