Finding the Fourth Proportional to 3,749.78, 5,628.10 and 1,902.17

Step by Step Solution

1. Step 1: Write the proportion equation
   3,749.78 : 5,628.10 = 1,902.17 : x
2. Step 2: Convert to fraction form
   3,749.78/5,628.10 = 1,902.17/x
3. Step 3: Cross multiply
   3,749.78x = 5,628.10 × 1,902.17
4. Step 4: Simplify right side
   3,749.78x = 10,705,612.29
5. Step 5: Solve for x
   x = 10,705,612.29/3,749.78
6. Step 6: Final answer
   x = 2,855.00