Finding the Fourth Proportional to 1,514.64, 2,273.17 and 784.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514.64 : 2,273.17 = 784.42 : x
2. Step 2: Convert to fraction form
   1,514.64/2,273.17 = 784.42/x
3. Step 3: Cross multiply
   1,514.64x = 2,273.17 × 784.42
4. Step 4: Simplify right side
   1,514.64x = 1,783,118.05
5. Step 5: Solve for x
   x = 1,783,118.05/1,514.64
6. Step 6: Final answer
   x = 1,177.26