Finding the Fourth Proportional to 11,581.68, 17,374.32 and 3,788.64

Step by Step Solution

1. Step 1: Write the proportion equation
   11,581.68 : 17,374.32 = 3,788.64 : x
2. Step 2: Convert to fraction form
   11,581.68/17,374.32 = 3,788.64/x
3. Step 3: Cross multiply
   11,581.68x = 17,374.32 × 3,788.64
4. Step 4: Simplify right side
   11,581.68x = 65,825,043.72
5. Step 5: Solve for x
   x = 65,825,043.72/11,581.68
6. Step 6: Final answer
   x = 5,683.55