Finding the Fourth Proportional to 5,756.77, 8,631.45 and 3,780.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,756.77 : 8,631.45 = 3,780.06 : x
2. Step 2: Convert to fraction form
   5,756.77/8,631.45 = 3,780.06/x
3. Step 3: Cross multiply
   5,756.77x = 8,631.45 × 3,780.06
4. Step 4: Simplify right side
   5,756.77x = 32,627,398.89
5. Step 5: Solve for x
   x = 32,627,398.89/5,756.77
6. Step 6: Final answer
   x = 5,667.66