Finding the Fourth Proportional to 2,090.16, 3,135.78 and 1,116

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.16 : 3,135.78 = 1,116 : x
2. Step 2: Convert to fraction form
   2,090.16/3,135.78 = 1,116/x
3. Step 3: Cross multiply
   2,090.16x = 3,135.78 × 1,116
4. Step 4: Simplify right side
   2,090.16x = 3,499,530.48
5. Step 5: Solve for x
   x = 3,499,530.48/2,090.16
6. Step 6: Final answer
   x = 1,674.29