Finding the Fourth Proportional to 1,005.24, 1,514.72 and 826.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.24 : 1,514.72 = 826.64 : x
2. Step 2: Convert to fraction form
   1,005.24/1,514.72 = 826.64/x
3. Step 3: Cross multiply
   1,005.24x = 1,514.72 × 826.64
4. Step 4: Simplify right side
   1,005.24x = 1,252,116.43
5. Step 5: Solve for x
   x = 1,252,116.43/1,005.24
6. Step 6: Final answer
   x = 1,245.59