Finding the Fourth Proportional to 2,085.11, 2,877.84 and 1,340.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.11 : 2,877.84 = 1,340.00 : x
2. Step 2: Convert to fraction form
   2,085.11/2,877.84 = 1,340.00/x
3. Step 3: Cross multiply
   2,085.11x = 2,877.84 × 1,340.00
4. Step 4: Simplify right side
   2,085.11x = 3,856,312.79
5. Step 5: Solve for x
   x = 3,856,312.79/2,085.11
6. Step 6: Final answer
   x = 1,849.45