Finding the Fourth Proportional to 1,111.41, 1,667.14 and 782.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.41 : 1,667.14 = 782.75 : x
2. Step 2: Convert to fraction form
   1,111.41/1,667.14 = 782.75/x
3. Step 3: Cross multiply
   1,111.41x = 1,667.14 × 782.75
4. Step 4: Simplify right side
   1,111.41x = 1,304,956.05
5. Step 5: Solve for x
   x = 1,304,956.05/1,111.41
6. Step 6: Final answer
   x = 1,174.14