Finding the Fourth Proportional to 3,779.50, 5,663.78 and 2,132.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,779.50 : 5,663.78 = 2,132.57 : x
2. Step 2: Convert to fraction form
   3,779.50/5,663.78 = 2,132.57/x
3. Step 3: Cross multiply
   3,779.50x = 5,663.78 × 2,132.57
4. Step 4: Simplify right side
   3,779.50x = 12,078,407.31
5. Step 5: Solve for x
   x = 12,078,407.31/3,779.50
6. Step 6: Final answer
   x = 3,195.77