Finding the Fourth Proportional to 1,010.16, 1,514.70 and 522.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.16 : 1,514.70 = 522.72 : x
2. Step 2: Convert to fraction form
   1,010.16/1,514.70 = 522.72/x
3. Step 3: Cross multiply
   1,010.16x = 1,514.70 × 522.72
4. Step 4: Simplify right side
   1,010.16x = 791,763.98
5. Step 5: Solve for x
   x = 791,763.98/1,010.16
6. Step 6: Final answer
   x = 783.80