Finding the Fourth Proportional to 2,100.64, 3,149.04 and 1,188

Step by Step Solution

1. Step 1: Write the proportion equation
   2,100.64 : 3,149.04 = 1,188 : x
2. Step 2: Convert to fraction form
   2,100.64/3,149.04 = 1,188/x
3. Step 3: Cross multiply
   2,100.64x = 3,149.04 × 1,188
4. Step 4: Simplify right side
   2,100.64x = 3,741,059.52
5. Step 5: Solve for x
   x = 3,741,059.52/2,100.64
6. Step 6: Final answer
   x = 1,780.91