Finding the Fourth Proportional to 1,019.32, 1,528.42 and 471.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.32 : 1,528.42 = 471.20 : x
2. Step 2: Convert to fraction form
   1,019.32/1,528.42 = 471.20/x
3. Step 3: Cross multiply
   1,019.32x = 1,528.42 × 471.20
4. Step 4: Simplify right side
   1,019.32x = 720,191.50
5. Step 5: Solve for x
   x = 720,191.50/1,019.32
6. Step 6: Final answer
   x = 706.54