Finding the Fourth Proportional to 1,682.78, 2,322.15 and 1,158.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682.78 : 2,322.15 = 1,158.86 : x
2. Step 2: Convert to fraction form
   1,682.78/2,322.15 = 1,158.86/x
3. Step 3: Cross multiply
   1,682.78x = 2,322.15 × 1,158.86
4. Step 4: Simplify right side
   1,682.78x = 2,691,046.75
5. Step 5: Solve for x
   x = 2,691,046.75/1,682.78
6. Step 6: Final answer
   x = 1,599.17