Finding the Fourth Proportional to 2,583.95, 3,875.00 and 828.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.95 : 3,875.00 = 828.59 : x
2. Step 2: Convert to fraction form
   2,583.95/3,875.00 = 828.59/x
3. Step 3: Cross multiply
   2,583.95x = 3,875.00 × 828.59
4. Step 4: Simplify right side
   2,583.95x = 3,210,762.73
5. Step 5: Solve for x
   x = 3,210,762.73/2,583.95
6. Step 6: Final answer
   x = 1,242.58