Finding the Fourth Proportional to 1,475.33, 2,209.34 and 824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,475.33 : 2,209.34 = 824.69 : x
2. Step 2: Convert to fraction form
   1,475.33/2,209.34 = 824.69/x
3. Step 3: Cross multiply
   1,475.33x = 2,209.34 × 824.69
4. Step 4: Simplify right side
   1,475.33x = 1,822,028.19
5. Step 5: Solve for x
   x = 1,822,028.19/1,475.33
6. Step 6: Final answer
   x = 1,235.00