Finding the Fourth Proportional to 5,877.56, 8,109.90 and 3,781.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,877.56 : 8,109.90 = 3,781.40 : x
2. Step 2: Convert to fraction form
   5,877.56/8,109.90 = 3,781.40/x
3. Step 3: Cross multiply
   5,877.56x = 8,109.90 × 3,781.40
4. Step 4: Simplify right side
   5,877.56x = 30,666,775.86
5. Step 5: Solve for x
   x = 30,666,775.86/5,877.56
6. Step 6: Final answer
   x = 5,217.60