Finding the Fourth Proportional to 1,146.72, 1,720.50 and 416.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.72 : 1,720.50 = 416.37 : x
2. Step 2: Convert to fraction form
   1,146.72/1,720.50 = 416.37/x
3. Step 3: Cross multiply
   1,146.72x = 1,720.50 × 416.37
4. Step 4: Simplify right side
   1,146.72x = 716,364.59
5. Step 5: Solve for x
   x = 716,364.59/1,146.72
6. Step 6: Final answer
   x = 624.71