Finding the Fourth Proportional to 13,784.58, 19,022.85 and 8,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784.58 : 19,022.85 = 8,194.50 : x
2. Step 2: Convert to fraction form
   13,784.58/19,022.85 = 8,194.50/x
3. Step 3: Cross multiply
   13,784.58x = 19,022.85 × 8,194.50
4. Step 4: Simplify right side
   13,784.58x = 155,882,744.33
5. Step 5: Solve for x
   x = 155,882,744.33/13,784.58
6. Step 6: Final answer
   x = 11,308.49