Finding the Fourth Proportional to 2,546.66, 3,815.05 and 1,878.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.66 : 3,815.05 = 1,878.34 : x
2. Step 2: Convert to fraction form
   2,546.66/3,815.05 = 1,878.34/x
3. Step 3: Cross multiply
   2,546.66x = 3,815.05 × 1,878.34
4. Step 4: Simplify right side
   2,546.66x = 7,165,961.02
5. Step 5: Solve for x
   x = 7,165,961.02/2,546.66
6. Step 6: Final answer
   x = 2,813.87