Finding the Fourth Proportional to 2,583.57, 3,875.63 and 828.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.57 : 3,875.63 = 828.15 : x
2. Step 2: Convert to fraction form
   2,583.57/3,875.63 = 828.15/x
3. Step 3: Cross multiply
   2,583.57x = 3,875.63 × 828.15
4. Step 4: Simplify right side
   2,583.57x = 3,209,602.98
5. Step 5: Solve for x
   x = 3,209,602.98/2,583.57
6. Step 6: Final answer
   x = 1,242.31