Finding the Fourth Proportional to 1,146.76, 1,719.69 and 406.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.76 : 1,719.69 = 406.09 : x
2. Step 2: Convert to fraction form
   1,146.76/1,719.69 = 406.09/x
3. Step 3: Cross multiply
   1,146.76x = 1,719.69 × 406.09
4. Step 4: Simplify right side
   1,146.76x = 698,342.15
5. Step 5: Solve for x
   x = 698,342.15/1,146.76
6. Step 6: Final answer
   x = 608.97