Finding the Fourth Proportional to 3,538.80, 5,308.56 and 1,074.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.80 : 5,308.56 = 1,074.24 : x
2. Step 2: Convert to fraction form
   3,538.80/5,308.56 = 1,074.24/x
3. Step 3: Cross multiply
   3,538.80x = 5,308.56 × 1,074.24
4. Step 4: Simplify right side
   3,538.80x = 5,702,667.49
5. Step 5: Solve for x
   x = 5,702,667.49/3,538.80
6. Step 6: Final answer
   x = 1,611.47