Finding the Fourth Proportional to 11,574.78, 17,364.60 and 3,784.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,574.78 : 17,364.60 = 3,784.20 : x
2. Step 2: Convert to fraction form
   11,574.78/17,364.60 = 3,784.20/x
3. Step 3: Cross multiply
   11,574.78x = 17,364.60 × 3,784.20
4. Step 4: Simplify right side
   11,574.78x = 65,711,119.32
5. Step 5: Solve for x
   x = 65,711,119.32/11,574.78
6. Step 6: Final answer
   x = 5,677.09