Finding the Fourth Proportional to 9,786.84, 14,643.48 and 5,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.84 : 14,643.48 = 5,823.50 : x
2. Step 2: Convert to fraction form
   9,786.84/14,643.48 = 5,823.50/x
3. Step 3: Cross multiply
   9,786.84x = 14,643.48 × 5,823.50
4. Step 4: Simplify right side
   9,786.84x = 85,276,305.78
5. Step 5: Solve for x
   x = 85,276,305.78/9,786.84
6. Step 6: Final answer
   x = 8,713.36