Finding the Fourth Proportional to 1,146.38, 1,719.59 and 416.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.38 : 1,719.59 = 416.00 : x
2. Step 2: Convert to fraction form
   1,146.38/1,719.59 = 416.00/x
3. Step 3: Cross multiply
   1,146.38x = 1,719.59 × 416.00
4. Step 4: Simplify right side
   1,146.38x = 715,338.76
5. Step 5: Solve for x
   x = 715,338.76/1,146.38
6. Step 6: Final answer
   x = 624.00