Finding the Fourth Proportional to 1,007.94, 1,512.56 and 430.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.94 : 1,512.56 = 430.82 : x
2. Step 2: Convert to fraction form
   1,007.94/1,512.56 = 430.82/x
3. Step 3: Cross multiply
   1,007.94x = 1,512.56 × 430.82
4. Step 4: Simplify right side
   1,007.94x = 651,641.10
5. Step 5: Solve for x
   x = 651,641.10/1,007.94
6. Step 6: Final answer
   x = 646.51