Finding the Fourth Proportional to 2,003.70, 3,005.57 and 906.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.70 : 3,005.57 = 906.78 : x
2. Step 2: Convert to fraction form
   2,003.70/3,005.57 = 906.78/x
3. Step 3: Cross multiply
   2,003.70x = 3,005.57 × 906.78
4. Step 4: Simplify right side
   2,003.70x = 2,725,386.23
5. Step 5: Solve for x
   x = 2,725,386.23/2,003.70
6. Step 6: Final answer
   x = 1,360.18