Finding the Fourth Proportional to 2,429.06, 3,643.34 and 1,042.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.06 : 3,643.34 = 1,042.14 : x
2. Step 2: Convert to fraction form
   2,429.06/3,643.34 = 1,042.14/x
3. Step 3: Cross multiply
   2,429.06x = 3,643.34 × 1,042.14
4. Step 4: Simplify right side
   2,429.06x = 3,796,870.35
5. Step 5: Solve for x
   x = 3,796,870.35/2,429.06
6. Step 6: Final answer
   x = 1,563.10