Finding the Fourth Proportional to 9,665.75, 14,473.42 and 5,274.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.75 : 14,473.42 = 5,274.14 : x
2. Step 2: Convert to fraction form
   9,665.75/14,473.42 = 5,274.14/x
3. Step 3: Cross multiply
   9,665.75x = 14,473.42 × 5,274.14
4. Step 4: Simplify right side
   9,665.75x = 76,334,757.81
5. Step 5: Solve for x
   x = 76,334,757.81/9,665.75
6. Step 6: Final answer
   x = 7,897.45