Finding the Fourth Proportional to 9,574.89, 14,297.78 and 7,823.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.89 : 14,297.78 = 7,823.34 : x
2. Step 2: Convert to fraction form
   9,574.89/14,297.78 = 7,823.34/x
3. Step 3: Cross multiply
   9,574.89x = 14,297.78 × 7,823.34
4. Step 4: Simplify right side
   9,574.89x = 111,856,355.07
5. Step 5: Solve for x
   x = 111,856,355.07/9,574.89
6. Step 6: Final answer
   x = 11,682.26