Finding the Fourth Proportional to 9,806.84, 14,711.02 and 5,884.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,806.84 : 14,711.02 = 5,884.82 : x
2. Step 2: Convert to fraction form
   9,806.84/14,711.02 = 5,884.82/x
3. Step 3: Cross multiply
   9,806.84x = 14,711.02 × 5,884.82
4. Step 4: Simplify right side
   9,806.84x = 86,571,704.72
5. Step 5: Solve for x
   x = 86,571,704.72/9,806.84
6. Step 6: Final answer
   x = 8,827.69