Finding the Fourth Proportional to 2,084.70, 2,875.86 and 1,377.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.70 : 2,875.86 = 1,377.78 : x
2. Step 2: Convert to fraction form
   2,084.70/2,875.86 = 1,377.78/x
3. Step 3: Cross multiply
   2,084.70x = 2,875.86 × 1,377.78
4. Step 4: Simplify right side
   2,084.70x = 3,962,302.39
5. Step 5: Solve for x
   x = 3,962,302.39/2,084.70
6. Step 6: Final answer
   x = 1,900.66