Finding the Fourth Proportional to 6,877.94, 9,491.61 and 3,734.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,877.94 : 9,491.61 = 3,734.14 : x
2. Step 2: Convert to fraction form
   6,877.94/9,491.61 = 3,734.14/x
3. Step 3: Cross multiply
   6,877.94x = 9,491.61 × 3,734.14
4. Step 4: Simplify right side
   6,877.94x = 35,443,000.57
5. Step 5: Solve for x
   x = 35,443,000.57/6,877.94
6. Step 6: Final answer
   x = 5,153.14