Finding the Fourth Proportional to 2,116.72, 3,175.05 and 577.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.72 : 3,175.05 = 577.72 : x
2. Step 2: Convert to fraction form
   2,116.72/3,175.05 = 577.72/x
3. Step 3: Cross multiply
   2,116.72x = 3,175.05 × 577.72
4. Step 4: Simplify right side
   2,116.72x = 1,834,289.89
5. Step 5: Solve for x
   x = 1,834,289.89/2,116.72
6. Step 6: Final answer
   x = 866.57