Finding the Fourth Proportional to 1,605.46, 2,215.56 and 906.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.46 : 2,215.56 = 906.82 : x
2. Step 2: Convert to fraction form
   1,605.46/2,215.56 = 906.82/x
3. Step 3: Cross multiply
   1,605.46x = 2,215.56 × 906.82
4. Step 4: Simplify right side
   1,605.46x = 2,009,114.12
5. Step 5: Solve for x
   x = 2,009,114.12/1,605.46
6. Step 6: Final answer
   x = 1,251.43