Finding the Fourth Proportional to 1,462.63, 2,018.53 and 824.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.63 : 2,018.53 = 824.73 : x
2. Step 2: Convert to fraction form
   1,462.63/2,018.53 = 824.73/x
3. Step 3: Cross multiply
   1,462.63x = 2,018.53 × 824.73
4. Step 4: Simplify right side
   1,462.63x = 1,664,741.22
5. Step 5: Solve for x
   x = 1,664,741.22/1,462.63
6. Step 6: Final answer
   x = 1,138.18