Finding the Fourth Proportional to 1,454.18, 2,006.73 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.18 : 2,006.73 = 824.72 : x
2. Step 2: Convert to fraction form
   1,454.18/2,006.73 = 824.72/x
3. Step 3: Cross multiply
   1,454.18x = 2,006.73 × 824.72
4. Step 4: Simplify right side
   1,454.18x = 1,654,980.33
5. Step 5: Solve for x
   x = 1,654,980.33/1,454.18
6. Step 6: Final answer
   x = 1,138.09