Finding the Fourth Proportional to 1,417.52, 2,123.20 and 685.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.52 : 2,123.20 = 685.56 : x
2. Step 2: Convert to fraction form
   1,417.52/2,123.20 = 685.56/x
3. Step 3: Cross multiply
   1,417.52x = 2,123.20 × 685.56
4. Step 4: Simplify right side
   1,417.52x = 1,455,580.99
5. Step 5: Solve for x
   x = 1,455,580.99/1,417.52
6. Step 6: Final answer
   x = 1,026.85