Finding the Fourth Proportional to 6,911.59, 9,538.01 and 3,767.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911.59 : 9,538.01 = 3,767.78 : x
2. Step 2: Convert to fraction form
   6,911.59/9,538.01 = 3,767.78/x
3. Step 3: Cross multiply
   6,911.59x = 9,538.01 × 3,767.78
4. Step 4: Simplify right side
   6,911.59x = 35,937,123.32
5. Step 5: Solve for x
   x = 35,937,123.32/6,911.59
6. Step 6: Final answer
   x = 5,199.55