Finding the Fourth Proportional to 57,100.50, 85,684.50 and 31,821.12

Step by Step Solution

1. Step 1: Write the proportion equation
   57,100.50 : 85,684.50 = 31,821.12 : x
2. Step 2: Convert to fraction form
   57,100.50/85,684.50 = 31,821.12/x
3. Step 3: Cross multiply
   57,100.50x = 85,684.50 × 31,821.12
4. Step 4: Simplify right side
   57,100.50x = 2,726,576,756.64
5. Step 5: Solve for x
   x = 2,726,576,756.64/57,100.50
6. Step 6: Final answer
   x = 47,750.49