Finding the Fourth Proportional to 11,456.64, 17,184.72 and 3,665.46

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456.64 : 17,184.72 = 3,665.46 : x
2. Step 2: Convert to fraction form
   11,456.64/17,184.72 = 3,665.46/x
3. Step 3: Cross multiply
   11,456.64x = 17,184.72 × 3,665.46
4. Step 4: Simplify right side
   11,456.64x = 62,989,903.77
5. Step 5: Solve for x
   x = 62,989,903.77/11,456.64
6. Step 6: Final answer
   x = 5,498.11