Finding the Fourth Proportional to 1,380.69, 2,071.29 and 456.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.69 : 2,071.29 = 456.29 : x
2. Step 2: Convert to fraction form
   1,380.69/2,071.29 = 456.29/x
3. Step 3: Cross multiply
   1,380.69x = 2,071.29 × 456.29
4. Step 4: Simplify right side
   1,380.69x = 945,098.56
5. Step 5: Solve for x
   x = 945,098.56/1,380.69
6. Step 6: Final answer
   x = 684.51