Finding the Fourth Proportional to 2,116.50, 3,174.81 and 577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.50 : 3,174.81 = 577.50 : x
2. Step 2: Convert to fraction form
   2,116.50/3,174.81 = 577.50/x
3. Step 3: Cross multiply
   2,116.50x = 3,174.81 × 577.50
4. Step 4: Simplify right side
   2,116.50x = 1,833,452.78
5. Step 5: Solve for x
   x = 1,833,452.78/2,116.50
6. Step 6: Final answer
   x = 866.27