Finding the Fourth Proportional to 1,116.09, 1,677.17 and 596.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116.09 : 1,677.17 = 596.46 : x
2. Step 2: Convert to fraction form
   1,116.09/1,677.17 = 596.46/x
3. Step 3: Cross multiply
   1,116.09x = 1,677.17 × 596.46
4. Step 4: Simplify right side
   1,116.09x = 1,000,364.82
5. Step 5: Solve for x
   x = 1,000,364.82/1,116.09
6. Step 6: Final answer
   x = 896.31