Finding the Fourth Proportional to 11,665.28, 17,498.84 and 3,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.28 : 17,498.84 = 3,659.50 : x
2. Step 2: Convert to fraction form
   11,665.28/17,498.84 = 3,659.50/x
3. Step 3: Cross multiply
   11,665.28x = 17,498.84 × 3,659.50
4. Step 4: Simplify right side
   11,665.28x = 64,037,004.98
5. Step 5: Solve for x
   x = 64,037,004.98/11,665.28
6. Step 6: Final answer
   x = 5,489.54