Finding the Fourth Proportional to 1,457.73, 2,185.82 and 762.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.73 : 2,185.82 = 762.72 : x
2. Step 2: Convert to fraction form
   1,457.73/2,185.82 = 762.72/x
3. Step 3: Cross multiply
   1,457.73x = 2,185.82 × 762.72
4. Step 4: Simplify right side
   1,457.73x = 1,667,159.48
5. Step 5: Solve for x
   x = 1,667,159.48/1,457.73
6. Step 6: Final answer
   x = 1,143.67