Finding the Fourth Proportional to 1,010.52, 1,513.68 and 522.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.52 : 1,513.68 = 522.52 : x
2. Step 2: Convert to fraction form
   1,010.52/1,513.68 = 522.52/x
3. Step 3: Cross multiply
   1,010.52x = 1,513.68 × 522.52
4. Step 4: Simplify right side
   1,010.52x = 790,928.07
5. Step 5: Solve for x
   x = 790,928.07/1,010.52
6. Step 6: Final answer
   x = 782.69