Finding the Fourth Proportional to 1,498.32, 2,067.64 and 835.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.32 : 2,067.64 = 835.14 : x
2. Step 2: Convert to fraction form
   1,498.32/2,067.64 = 835.14/x
3. Step 3: Cross multiply
   1,498.32x = 2,067.64 × 835.14
4. Step 4: Simplify right side
   1,498.32x = 1,726,768.87
5. Step 5: Solve for x
   x = 1,726,768.87/1,498.32
6. Step 6: Final answer
   x = 1,152.47