Finding the Fourth Proportional to 9,685.65, 14,526.79 and 2,569.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.65 : 14,526.79 = 2,569.94 : x
2. Step 2: Convert to fraction form
   9,685.65/14,526.79 = 2,569.94/x
3. Step 3: Cross multiply
   9,685.65x = 14,526.79 × 2,569.94
4. Step 4: Simplify right side
   9,685.65x = 37,332,978.69
5. Step 5: Solve for x
   x = 37,332,978.69/9,685.65
6. Step 6: Final answer
   x = 3,854.46