Finding the Fourth Proportional to 1,114.10, 1,667.64 and 765.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.10 : 1,667.64 = 765.39 : x
2. Step 2: Convert to fraction form
   1,114.10/1,667.64 = 765.39/x
3. Step 3: Cross multiply
   1,114.10x = 1,667.64 × 765.39
4. Step 4: Simplify right side
   1,114.10x = 1,276,394.98
5. Step 5: Solve for x
   x = 1,276,394.98/1,114.10
6. Step 6: Final answer
   x = 1,145.68