Finding the Fourth Proportional to 3,112.10, 4,667.94 and 1,164.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,112.10 : 4,667.94 = 1,164.14 : x
2. Step 2: Convert to fraction form
   3,112.10/4,667.94 = 1,164.14/x
3. Step 3: Cross multiply
   3,112.10x = 4,667.94 × 1,164.14
4. Step 4: Simplify right side
   3,112.10x = 5,434,135.67
5. Step 5: Solve for x
   x = 5,434,135.67/3,112.10
6. Step 6: Final answer
   x = 1,746.13