Finding the Fourth Proportional to 1,019.18, 1,525.94 and 524.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.18 : 1,525.94 = 524.53 : x
2. Step 2: Convert to fraction form
   1,019.18/1,525.94 = 524.53/x
3. Step 3: Cross multiply
   1,019.18x = 1,525.94 × 524.53
4. Step 4: Simplify right side
   1,019.18x = 800,393.98
5. Step 5: Solve for x
   x = 800,393.98/1,019.18
6. Step 6: Final answer
   x = 785.33