Finding the Fourth Proportional to 1,053.72, 1,581.15 and 505.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.72 : 1,581.15 = 505.82 : x
2. Step 2: Convert to fraction form
   1,053.72/1,581.15 = 505.82/x
3. Step 3: Cross multiply
   1,053.72x = 1,581.15 × 505.82
4. Step 4: Simplify right side
   1,053.72x = 799,769.39
5. Step 5: Solve for x
   x = 799,769.39/1,053.72
6. Step 6: Final answer
   x = 759.00