Finding the Fourth Proportional to 1,414.04, 1,951.37 and 824.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.04 : 1,951.37 = 824.93 : x
2. Step 2: Convert to fraction form
   1,414.04/1,951.37 = 824.93/x
3. Step 3: Cross multiply
   1,414.04x = 1,951.37 × 824.93
4. Step 4: Simplify right side
   1,414.04x = 1,609,729.77
5. Step 5: Solve for x
   x = 1,609,729.77/1,414.04
6. Step 6: Final answer
   x = 1,138.39