Finding the Fourth Proportional to 1,463.76, 2,194.25 and 683.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.76 : 2,194.25 = 683.46 : x
2. Step 2: Convert to fraction form
   1,463.76/2,194.25 = 683.46/x
3. Step 3: Cross multiply
   1,463.76x = 2,194.25 × 683.46
4. Step 4: Simplify right side
   1,463.76x = 1,499,678.69
5. Step 5: Solve for x
   x = 1,499,678.69/1,463.76
6. Step 6: Final answer
   x = 1,024.54