Finding the Fourth Proportional to 1,054.71, 1,581.42 and 506.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.71 : 1,581.42 = 506.16 : x
2. Step 2: Convert to fraction form
   1,054.71/1,581.42 = 506.16/x
3. Step 3: Cross multiply
   1,054.71x = 1,581.42 × 506.16
4. Step 4: Simplify right side
   1,054.71x = 800,451.55
5. Step 5: Solve for x
   x = 800,451.55/1,054.71
6. Step 6: Final answer
   x = 758.93