Finding the Fourth Proportional to 2,117.10, 3,171.60 and 1,189.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,117.10 : 3,171.60 = 1,189.86 : x
2. Step 2: Convert to fraction form
   2,117.10/3,171.60 = 1,189.86/x
3. Step 3: Cross multiply
   2,117.10x = 3,171.60 × 1,189.86
4. Step 4: Simplify right side
   2,117.10x = 3,773,759.98
5. Step 5: Solve for x
   x = 3,773,759.98/2,117.10
6. Step 6: Final answer
   x = 1,782.51