Finding the Fourth Proportional to 1,468.25, 2,202.27 and 688.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.25 : 2,202.27 = 688.42 : x
2. Step 2: Convert to fraction form
   1,468.25/2,202.27 = 688.42/x
3. Step 3: Cross multiply
   1,468.25x = 2,202.27 × 688.42
4. Step 4: Simplify right side
   1,468.25x = 1,516,081.56
5. Step 5: Solve for x
   x = 1,516,081.56/1,468.25
6. Step 6: Final answer
   x = 1,032.58