Finding the Fourth Proportional to 3,814.10, 5,730.73 and 2,428.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,814.10 : 5,730.73 = 2,428.05 : x
2. Step 2: Convert to fraction form
   3,814.10/5,730.73 = 2,428.05/x
3. Step 3: Cross multiply
   3,814.10x = 5,730.73 × 2,428.05
4. Step 4: Simplify right side
   3,814.10x = 13,914,516.34
5. Step 5: Solve for x
   x = 13,914,516.34/3,814.10
6. Step 6: Final answer
   x = 3,648.18