Finding the Fourth Proportional to 6,401.84, 9,607.61 and 3,117.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.84 : 9,607.61 = 3,117.02 : x
2. Step 2: Convert to fraction form
   6,401.84/9,607.61 = 3,117.02/x
3. Step 3: Cross multiply
   6,401.84x = 9,607.61 × 3,117.02
4. Step 4: Simplify right side
   6,401.84x = 29,947,072.28
5. Step 5: Solve for x
   x = 29,947,072.28/6,401.84
6. Step 6: Final answer
   x = 4,677.89