Finding the Fourth Proportional to 3,662.64, 5,494.50 and 1,065.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,662.64 : 5,494.50 = 1,065.24 : x
2. Step 2: Convert to fraction form
   3,662.64/5,494.50 = 1,065.24/x
3. Step 3: Cross multiply
   3,662.64x = 5,494.50 × 1,065.24
4. Step 4: Simplify right side
   3,662.64x = 5,852,961.18
5. Step 5: Solve for x
   x = 5,852,961.18/3,662.64
6. Step 6: Final answer
   x = 1,598.02