Finding the Fourth Proportional to 2,038.25, 2,812.65 and 1,141.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038.25 : 2,812.65 = 1,141.83 : x
2. Step 2: Convert to fraction form
   2,038.25/2,812.65 = 1,141.83/x
3. Step 3: Cross multiply
   2,038.25x = 2,812.65 × 1,141.83
4. Step 4: Simplify right side
   2,038.25x = 3,211,568.15
5. Step 5: Solve for x
   x = 3,211,568.15/2,038.25
6. Step 6: Final answer
   x = 1,575.65