Finding the Fourth Proportional to 2,111.62, 3,169.11 and 1,188.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.62 : 3,169.11 = 1,188.10 : x
2. Step 2: Convert to fraction form
   2,111.62/3,169.11 = 1,188.10/x
3. Step 3: Cross multiply
   2,111.62x = 3,169.11 × 1,188.10
4. Step 4: Simplify right side
   2,111.62x = 3,765,219.59
5. Step 5: Solve for x
   x = 3,765,219.59/2,111.62
6. Step 6: Final answer
   x = 1,783.10