Finding the Fourth Proportional to 2,114.64, 3,167.10 and 1,188.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.64 : 3,167.10 = 1,188.81 : x
2. Step 2: Convert to fraction form
   2,114.64/3,167.10 = 1,188.81/x
3. Step 3: Cross multiply
   2,114.64x = 3,167.10 × 1,188.81
4. Step 4: Simplify right side
   2,114.64x = 3,765,080.15
5. Step 5: Solve for x
   x = 3,765,080.15/2,114.64
6. Step 6: Final answer
   x = 1,780.48