Finding the Fourth Proportional to 1,146.78, 1,719.49 and 416.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.78 : 1,719.49 = 416.02 : x
2. Step 2: Convert to fraction form
   1,146.78/1,719.49 = 416.02/x
3. Step 3: Cross multiply
   1,146.78x = 1,719.49 × 416.02
4. Step 4: Simplify right side
   1,146.78x = 715,342.23
5. Step 5: Solve for x
   x = 715,342.23/1,146.78
6. Step 6: Final answer
   x = 623.78