Finding the Fourth Proportional to 3,705.40, 5,113.46 and 2,026.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,705.40 : 5,113.46 = 2,026.78 : x
2. Step 2: Convert to fraction form
   3,705.40/5,113.46 = 2,026.78/x
3. Step 3: Cross multiply
   3,705.40x = 5,113.46 × 2,026.78
4. Step 4: Simplify right side
   3,705.40x = 10,363,858.46
5. Step 5: Solve for x
   x = 10,363,858.46/3,705.40
6. Step 6: Final answer
   x = 2,796.96