Finding the Fourth Proportional to 22,574.72, 33,868.78 and 7,785.14

Step by Step Solution

1. Step 1: Write the proportion equation
   22,574.72 : 33,868.78 = 7,785.14 : x
2. Step 2: Convert to fraction form
   22,574.72/33,868.78 = 7,785.14/x
3. Step 3: Cross multiply
   22,574.72x = 33,868.78 × 7,785.14
4. Step 4: Simplify right side
   22,574.72x = 263,673,005.12
5. Step 5: Solve for x
   x = 263,673,005.12/22,574.72
6. Step 6: Final answer
   x = 11,680.01