Finding the Fourth Proportional to 1,054.35, 1,581.56 and 506.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.35 : 1,581.56 = 506.42 : x
2. Step 2: Convert to fraction form
   1,054.35/1,581.56 = 506.42/x
3. Step 3: Cross multiply
   1,054.35x = 1,581.56 × 506.42
4. Step 4: Simplify right side
   1,054.35x = 800,931.01
5. Step 5: Solve for x
   x = 800,931.01/1,054.35
6. Step 6: Final answer
   x = 759.64