Finding the Fourth Proportional to 1,009.30, 1,514.76 and 522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.30 : 1,514.76 = 522.50 : x
2. Step 2: Convert to fraction form
   1,009.30/1,514.76 = 522.50/x
3. Step 3: Cross multiply
   1,009.30x = 1,514.76 × 522.50
4. Step 4: Simplify right side
   1,009.30x = 791,462.10
5. Step 5: Solve for x
   x = 791,462.10/1,009.30
6. Step 6: Final answer
   x = 784.17