Finding the Fourth Proportional to 1,119.57, 1,677.71 and 591.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,119.57 : 1,677.71 = 591.05 : x
2. Step 2: Convert to fraction form
   1,119.57/1,677.71 = 591.05/x
3. Step 3: Cross multiply
   1,119.57x = 1,677.71 × 591.05
4. Step 4: Simplify right side
   1,119.57x = 991,606.73
5. Step 5: Solve for x
   x = 991,606.73/1,119.57
6. Step 6: Final answer
   x = 885.70