Finding the Fourth Proportional to 2,085.45, 2,878.10 and 1,189.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.45 : 2,878.10 = 1,189.35 : x
2. Step 2: Convert to fraction form
   2,085.45/2,878.10 = 1,189.35/x
3. Step 3: Cross multiply
   2,085.45x = 2,878.10 × 1,189.35
4. Step 4: Simplify right side
   2,085.45x = 3,423,062.29
5. Step 5: Solve for x
   x = 3,423,062.29/2,085.45
6. Step 6: Final answer
   x = 1,641.40