Finding the Fourth Proportional to 1,605.75, 2,410.69 and 875.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.75 : 2,410.69 = 875.82 : x
2. Step 2: Convert to fraction form
   1,605.75/2,410.69 = 875.82/x
3. Step 3: Cross multiply
   1,605.75x = 2,410.69 × 875.82
4. Step 4: Simplify right side
   1,605.75x = 2,111,330.52
5. Step 5: Solve for x
   x = 2,111,330.52/1,605.75
6. Step 6: Final answer
   x = 1,314.86