Finding the Fourth Proportional to 1,416.04, 2,123.86 and 685.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.04 : 2,123.86 = 685.42 : x
2. Step 2: Convert to fraction form
   1,416.04/2,123.86 = 685.42/x
3. Step 3: Cross multiply
   1,416.04x = 2,123.86 × 685.42
4. Step 4: Simplify right side
   1,416.04x = 1,455,736.12
5. Step 5: Solve for x
   x = 1,455,736.12/1,416.04
6. Step 6: Final answer
   x = 1,028.03