Finding the Fourth Proportional to 783.94, 1,167.56 and 762.42

Step by Step Solution

1. Step 1: Write the proportion equation
   783.94 : 1,167.56 = 762.42 : x
2. Step 2: Convert to fraction form
   783.94/1,167.56 = 762.42/x
3. Step 3: Cross multiply
   783.94x = 1,167.56 × 762.42
4. Step 4: Simplify right side
   783.94x = 890,171.10
5. Step 5: Solve for x
   x = 890,171.10/783.94
6. Step 6: Final answer
   x = 1,135.51