Finding the Fourth Proportional to 1,162.56, 1,742.94 and 382.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.56 : 1,742.94 = 382.07 : x
2. Step 2: Convert to fraction form
   1,162.56/1,742.94 = 382.07/x
3. Step 3: Cross multiply
   1,162.56x = 1,742.94 × 382.07
4. Step 4: Simplify right side
   1,162.56x = 665,923.18
5. Step 5: Solve for x
   x = 665,923.18/1,162.56
6. Step 6: Final answer
   x = 572.81