Finding the Fourth Proportional to 1,380.96, 2,071.46 and 456.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.96 : 2,071.46 = 456.62 : x
2. Step 2: Convert to fraction form
   1,380.96/2,071.46 = 456.62/x
3. Step 3: Cross multiply
   1,380.96x = 2,071.46 × 456.62
4. Step 4: Simplify right side
   1,380.96x = 945,870.07
5. Step 5: Solve for x
   x = 945,870.07/1,380.96
6. Step 6: Final answer
   x = 684.94