Finding the Fourth Proportional to 1,417.53, 2,123.21 and 685.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.53 : 2,123.21 = 685.57 : x
2. Step 2: Convert to fraction form
   1,417.53/2,123.21 = 685.57/x
3. Step 3: Cross multiply
   1,417.53x = 2,123.21 × 685.57
4. Step 4: Simplify right side
   1,417.53x = 1,455,598.46
5. Step 5: Solve for x
   x = 1,455,598.46/1,417.53
6. Step 6: Final answer
   x = 1,026.86