Finding the Fourth Proportional to 2,429.16, 3,643.86 and 1,042.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.16 : 3,643.86 = 1,042.68 : x
2. Step 2: Convert to fraction form
   2,429.16/3,643.86 = 1,042.68/x
3. Step 3: Cross multiply
   2,429.16x = 3,643.86 × 1,042.68
4. Step 4: Simplify right side
   2,429.16x = 3,799,379.94
5. Step 5: Solve for x
   x = 3,799,379.94/2,429.16
6. Step 6: Final answer
   x = 1,564.07