Finding the Fourth Proportional to 2,583.45, 3,875.47 and 828.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.45 : 3,875.47 = 828.05 : x
2. Step 2: Convert to fraction form
   2,583.45/3,875.47 = 828.05/x
3. Step 3: Cross multiply
   2,583.45x = 3,875.47 × 828.05
4. Step 4: Simplify right side
   2,583.45x = 3,209,061.49
5. Step 5: Solve for x
   x = 3,209,061.49/2,583.45
6. Step 6: Final answer
   x = 1,242.16