Finding the Fourth Proportional to 1,019.52, 1,406.88 and 577.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.52 : 1,406.88 = 577.53 : x
2. Step 2: Convert to fraction form
   1,019.52/1,406.88 = 577.53/x
3. Step 3: Cross multiply
   1,019.52x = 1,406.88 × 577.53
4. Step 4: Simplify right side
   1,019.52x = 812,515.41
5. Step 5: Solve for x
   x = 812,515.41/1,019.52
6. Step 6: Final answer
   x = 796.96