Finding the Fourth Proportional to 9,665.01, 13,335.71 and 5,685.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.01 : 13,335.71 = 5,685.21 : x
2. Step 2: Convert to fraction form
   9,665.01/13,335.71 = 5,685.21/x
3. Step 3: Cross multiply
   9,665.01x = 13,335.71 × 5,685.21
4. Step 4: Simplify right side
   9,665.01x = 75,816,283.42
5. Step 5: Solve for x
   x = 75,816,283.42/9,665.01
6. Step 6: Final answer
   x = 7,844.41