Finding the Fourth Proportional to 2,085.62, 2,878.48 and 1,189.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.62 : 2,878.48 = 1,189.36 : x
2. Step 2: Convert to fraction form
   2,085.62/2,878.48 = 1,189.36/x
3. Step 3: Cross multiply
   2,085.62x = 2,878.48 × 1,189.36
4. Step 4: Simplify right side
   2,085.62x = 3,423,561.68
5. Step 5: Solve for x
   x = 3,423,561.68/2,085.62
6. Step 6: Final answer
   x = 1,641.51