Finding the Fourth Proportional to 2,467.47, 3,701.40 and 824.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467.47 : 3,701.40 = 824.02 : x
2. Step 2: Convert to fraction form
   2,467.47/3,701.40 = 824.02/x
3. Step 3: Cross multiply
   2,467.47x = 3,701.40 × 824.02
4. Step 4: Simplify right side
   2,467.47x = 3,050,015.28
5. Step 5: Solve for x
   x = 3,050,015.28/2,467.47
6. Step 6: Final answer
   x = 1,236.09