Finding the Fourth Proportional to 2,583.71, 3,875.83 and 828.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.71 : 3,875.83 = 828.28 : x
2. Step 2: Convert to fraction form
   2,583.71/3,875.83 = 828.28/x
3. Step 3: Cross multiply
   2,583.71x = 3,875.83 × 828.28
4. Step 4: Simplify right side
   2,583.71x = 3,210,272.47
5. Step 5: Solve for x
   x = 3,210,272.47/2,583.71
6. Step 6: Final answer
   x = 1,242.50