Finding the Fourth Proportional to 1,225.82, 1,837.59 and 456.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,225.82 : 1,837.59 = 456.14 : x
2. Step 2: Convert to fraction form
   1,225.82/1,837.59 = 456.14/x
3. Step 3: Cross multiply
   1,225.82x = 1,837.59 × 456.14
4. Step 4: Simplify right side
   1,225.82x = 838,198.30
5. Step 5: Solve for x
   x = 838,198.30/1,225.82
6. Step 6: Final answer
   x = 683.79