Finding the Fourth Proportional to 1,111.67, 1,664.01 and 762.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.67 : 1,664.01 = 762.97 : x
2. Step 2: Convert to fraction form
   1,111.67/1,664.01 = 762.97/x
3. Step 3: Cross multiply
   1,111.67x = 1,664.01 × 762.97
4. Step 4: Simplify right side
   1,111.67x = 1,269,581.39
5. Step 5: Solve for x
   x = 1,269,581.39/1,111.67
6. Step 6: Final answer
   x = 1,142.05