Finding the Fourth Proportional to 1,054.82, 1,581.24 and 506.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.82 : 1,581.24 = 506.72 : x
2. Step 2: Convert to fraction form
   1,054.82/1,581.24 = 506.72/x
3. Step 3: Cross multiply
   1,054.82x = 1,581.24 × 506.72
4. Step 4: Simplify right side
   1,054.82x = 801,245.93
5. Step 5: Solve for x
   x = 801,245.93/1,054.82
6. Step 6: Final answer
   x = 759.60