Finding the Fourth Proportional to 1,013.50, 1,520.25 and 526.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.50 : 1,520.25 = 526.42 : x
2. Step 2: Convert to fraction form
   1,013.50/1,520.25 = 526.42/x
3. Step 3: Cross multiply
   1,013.50x = 1,520.25 × 526.42
4. Step 4: Simplify right side
   1,013.50x = 800,290.01
5. Step 5: Solve for x
   x = 800,290.01/1,013.50
6. Step 6: Final answer
   x = 789.63