Finding the Fourth Proportional to 1,946.78, 2,906.30 and 1,878.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.78 : 2,906.30 = 1,878.44 : x
2. Step 2: Convert to fraction form
   1,946.78/2,906.30 = 1,878.44/x
3. Step 3: Cross multiply
   1,946.78x = 2,906.30 × 1,878.44
4. Step 4: Simplify right side
   1,946.78x = 5,459,300.34
5. Step 5: Solve for x
   x = 5,459,300.34/1,946.78
6. Step 6: Final answer
   x = 2,804.27