Finding the Fourth Proportional to 1,019.16, 1,527.30 and 585.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.16 : 1,527.30 = 585.42 : x
2. Step 2: Convert to fraction form
   1,019.16/1,527.30 = 585.42/x
3. Step 3: Cross multiply
   1,019.16x = 1,527.30 × 585.42
4. Step 4: Simplify right side
   1,019.16x = 894,111.97
5. Step 5: Solve for x
   x = 894,111.97/1,019.16
6. Step 6: Final answer
   x = 877.30