Finding the Fourth Proportional to 1,380.83, 2,071.31 and 456.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.83 : 2,071.31 = 456.47 : x
2. Step 2: Convert to fraction form
   1,380.83/2,071.31 = 456.47/x
3. Step 3: Cross multiply
   1,380.83x = 2,071.31 × 456.47
4. Step 4: Simplify right side
   1,380.83x = 945,486.00
5. Step 5: Solve for x
   x = 945,486.00/1,380.83
6. Step 6: Final answer
   x = 684.73