Finding the Fourth Proportional to 2,085.42, 2,877.47 and 1,189.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.42 : 2,877.47 = 1,189.14 : x
2. Step 2: Convert to fraction form
   2,085.42/2,877.47 = 1,189.14/x
3. Step 3: Cross multiply
   2,085.42x = 2,877.47 × 1,189.14
4. Step 4: Simplify right side
   2,085.42x = 3,421,710.45
5. Step 5: Solve for x
   x = 3,421,710.45/2,085.42
6. Step 6: Final answer
   x = 1,640.78