Finding the Fourth Proportional to 2,090.42, 3,138.71 and 1,167.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.42 : 3,138.71 = 1,167.78 : x
2. Step 2: Convert to fraction form
   2,090.42/3,138.71 = 1,167.78/x
3. Step 3: Cross multiply
   2,090.42x = 3,138.71 × 1,167.78
4. Step 4: Simplify right side
   2,090.42x = 3,665,316.92
5. Step 5: Solve for x
   x = 3,665,316.92/2,090.42
6. Step 6: Final answer
   x = 1,753.39