Finding the Fourth Proportional to 9,842.50, 14,772.27 and 5,165.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,842.50 : 14,772.27 = 5,165.81 : x
2. Step 2: Convert to fraction form
   9,842.50/14,772.27 = 5,165.81/x
3. Step 3: Cross multiply
   9,842.50x = 14,772.27 × 5,165.81
4. Step 4: Simplify right side
   9,842.50x = 76,310,716.07
5. Step 5: Solve for x
   x = 76,310,716.07/9,842.50
6. Step 6: Final answer
   x = 7,753.19