Finding the Fourth Proportional to 1,845.10, 2,546.15 and 1,005.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,845.10 : 2,546.15 = 1,005.78 : x
2. Step 2: Convert to fraction form
   1,845.10/2,546.15 = 1,005.78/x
3. Step 3: Cross multiply
   1,845.10x = 2,546.15 × 1,005.78
4. Step 4: Simplify right side
   1,845.10x = 2,560,876.92
5. Step 5: Solve for x
   x = 2,560,876.92/1,845.10
6. Step 6: Final answer
   x = 1,387.94