Finding the Fourth Proportional to 1,462.29, 2,018.16 and 832.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.29 : 2,018.16 = 832.88 : x
2. Step 2: Convert to fraction form
   1,462.29/2,018.16 = 832.88/x
3. Step 3: Cross multiply
   1,462.29x = 2,018.16 × 832.88
4. Step 4: Simplify right side
   1,462.29x = 1,680,875.01
5. Step 5: Solve for x
   x = 1,680,875.01/1,462.29
6. Step 6: Final answer
   x = 1,149.48