Finding the Fourth Proportional to 13,784.32, 19,022.34 and 8,406.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784.32 : 19,022.34 = 8,406.78 : x
2. Step 2: Convert to fraction form
   13,784.32/19,022.34 = 8,406.78/x
3. Step 3: Cross multiply
   13,784.32x = 19,022.34 × 8,406.78
4. Step 4: Simplify right side
   13,784.32x = 159,916,627.47
5. Step 5: Solve for x
   x = 159,916,627.47/13,784.32
6. Step 6: Final answer
   x = 11,601.34