Finding the Fourth Proportional to 1,009.32, 1,514.25 and 522.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.32 : 1,514.25 = 522.69 : x
2. Step 2: Convert to fraction form
   1,009.32/1,514.25 = 522.69/x
3. Step 3: Cross multiply
   1,009.32x = 1,514.25 × 522.69
4. Step 4: Simplify right side
   1,009.32x = 791,483.33
5. Step 5: Solve for x
   x = 791,483.33/1,009.32
6. Step 6: Final answer
   x = 784.17