Finding the Fourth Proportional to 3,494.56, 5,242.61 and 1,029.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,494.56 : 5,242.61 = 1,029.57 : x
2. Step 2: Convert to fraction form
   3,494.56/5,242.61 = 1,029.57/x
3. Step 3: Cross multiply
   3,494.56x = 5,242.61 × 1,029.57
4. Step 4: Simplify right side
   3,494.56x = 5,397,633.98
5. Step 5: Solve for x
   x = 5,397,633.98/3,494.56
6. Step 6: Final answer
   x = 1,544.58