Finding the Fourth Proportional to 3,075.62, 4,612.86 and 824.18

Step by Step Solution

1. Step 1: Write the proportion equation
   3,075.62 : 4,612.86 = 824.18 : x
2. Step 2: Convert to fraction form
   3,075.62/4,612.86 = 824.18/x
3. Step 3: Cross multiply
   3,075.62x = 4,612.86 × 824.18
4. Step 4: Simplify right side
   3,075.62x = 3,801,822.83
5. Step 5: Solve for x
   x = 3,801,822.83/3,075.62
6. Step 6: Final answer
   x = 1,236.12