Finding the Fourth Proportional to 1,009.34, 1,513.02 and 522.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.34 : 1,513.02 = 522.26 : x
2. Step 2: Convert to fraction form
   1,009.34/1,513.02 = 522.26/x
3. Step 3: Cross multiply
   1,009.34x = 1,513.02 × 522.26
4. Step 4: Simplify right side
   1,009.34x = 790,189.83
5. Step 5: Solve for x
   x = 790,189.83/1,009.34
6. Step 6: Final answer
   x = 782.88