Finding the Fourth Proportional to 1,296.51, 1,944.72 and 430.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.51 : 1,944.72 = 430.83 : x
2. Step 2: Convert to fraction form
   1,296.51/1,944.72 = 430.83/x
3. Step 3: Cross multiply
   1,296.51x = 1,944.72 × 430.83
4. Step 4: Simplify right side
   1,296.51x = 837,843.72
5. Step 5: Solve for x
   x = 837,843.72/1,296.51
6. Step 6: Final answer
   x = 646.23