Finding the Fourth Proportional to 1,454.01, 2,178.14 and 685.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.01 : 2,178.14 = 685.05 : x
2. Step 2: Convert to fraction form
   1,454.01/2,178.14 = 685.05/x
3. Step 3: Cross multiply
   1,454.01x = 2,178.14 × 685.05
4. Step 4: Simplify right side
   1,454.01x = 1,492,131.38
5. Step 5: Solve for x
   x = 1,492,131.38/1,454.01
6. Step 6: Final answer
   x = 1,026.22