Finding the Fourth Proportional to 1,118.56, 1,677.71 and 296.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,118.56 : 1,677.71 = 296.90 : x
2. Step 2: Convert to fraction form
   1,118.56/1,677.71 = 296.90/x
3. Step 3: Cross multiply
   1,118.56x = 1,677.71 × 296.90
4. Step 4: Simplify right side
   1,118.56x = 498,111.67
5. Step 5: Solve for x
   x = 498,111.67/1,118.56
6. Step 6: Final answer
   x = 445.31