Finding the Fourth Proportional to 1,404.09, 2,105.91 and 429.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.09 : 2,105.91 = 429.93 : x
2. Step 2: Convert to fraction form
   1,404.09/2,105.91 = 429.93/x
3. Step 3: Cross multiply
   1,404.09x = 2,105.91 × 429.93
4. Step 4: Simplify right side
   1,404.09x = 905,393.89
5. Step 5: Solve for x
   x = 905,393.89/1,404.09
6. Step 6: Final answer
   x = 644.83