Finding the Fourth Proportional to 9,817.67, 14,727.53 and 5,662.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,817.67 : 14,727.53 = 5,662.37 : x
2. Step 2: Convert to fraction form
   9,817.67/14,727.53 = 5,662.37/x
3. Step 3: Cross multiply
   9,817.67x = 14,727.53 × 5,662.37
4. Step 4: Simplify right side
   9,817.67x = 83,392,650.41
5. Step 5: Solve for x
   x = 83,392,650.41/9,817.67
6. Step 6: Final answer
   x = 8,494.14