Finding the Fourth Proportional to 1,016.42, 1,525.36 and 522.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.42 : 1,525.36 = 522.53 : x
2. Step 2: Convert to fraction form
   1,016.42/1,525.36 = 522.53/x
3. Step 3: Cross multiply
   1,016.42x = 1,525.36 × 522.53
4. Step 4: Simplify right side
   1,016.42x = 797,038.37
5. Step 5: Solve for x
   x = 797,038.37/1,016.42
6. Step 6: Final answer
   x = 784.16