Finding the Fourth Proportional to 1,146.37, 1,719.71 and 416.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.37 : 1,719.71 = 416.15 : x
2. Step 2: Convert to fraction form
   1,146.37/1,719.71 = 416.15/x
3. Step 3: Cross multiply
   1,146.37x = 1,719.71 × 416.15
4. Step 4: Simplify right side
   1,146.37x = 715,663.15
5. Step 5: Solve for x
   x = 715,663.15/1,146.37
6. Step 6: Final answer
   x = 624.29