Finding the Fourth Proportional to 1,146.69, 1,720.71 and 416.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.69 : 1,720.71 = 416.34 : x
2. Step 2: Convert to fraction form
   1,146.69/1,720.71 = 416.34/x
3. Step 3: Cross multiply
   1,146.69x = 1,720.71 × 416.34
4. Step 4: Simplify right side
   1,146.69x = 716,400.40
5. Step 5: Solve for x
   x = 716,400.40/1,146.69
6. Step 6: Final answer
   x = 624.76