Finding the Fourth Proportional to 9,806.82, 13,531.86 and 5,827.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,806.82 : 13,531.86 = 5,827.82 : x
2. Step 2: Convert to fraction form
   9,806.82/13,531.86 = 5,827.82/x
3. Step 3: Cross multiply
   9,806.82x = 13,531.86 × 5,827.82
4. Step 4: Simplify right side
   9,806.82x = 78,861,244.35
5. Step 5: Solve for x
   x = 78,861,244.35/9,806.82
6. Step 6: Final answer
   x = 8,041.47