Finding the Fourth Proportional to 1,381.82, 2,071.59 and 456.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.82 : 2,071.59 = 456.80 : x
2. Step 2: Convert to fraction form
   1,381.82/2,071.59 = 456.80/x
3. Step 3: Cross multiply
   1,381.82x = 2,071.59 × 456.80
4. Step 4: Simplify right side
   1,381.82x = 946,291.95
5. Step 5: Solve for x
   x = 946,291.95/1,381.82
6. Step 6: Final answer
   x = 684.82