Finding the Fourth Proportional to 1,496.82, 2,065.61 and 875.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.82 : 2,065.61 = 875.82 : x
2. Step 2: Convert to fraction form
   1,496.82/2,065.61 = 875.82/x
3. Step 3: Cross multiply
   1,496.82x = 2,065.61 × 875.82
4. Step 4: Simplify right side
   1,496.82x = 1,809,098.17
5. Step 5: Solve for x
   x = 1,809,098.17/1,496.82
6. Step 6: Final answer
   x = 1,208.63