Finding the Fourth Proportional to 1,472.42, 2,209.56 and 823.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.42 : 2,209.56 = 823.58 : x
2. Step 2: Convert to fraction form
   1,472.42/2,209.56 = 823.58/x
3. Step 3: Cross multiply
   1,472.42x = 2,209.56 × 823.58
4. Step 4: Simplify right side
   1,472.42x = 1,819,749.42
5. Step 5: Solve for x
   x = 1,819,749.42/1,472.42
6. Step 6: Final answer
   x = 1,235.89