Finding the Fourth Proportional to 13,184.10, 19,770.38 and 3,947.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13,184.10 : 19,770.38 = 3,947.94 : x
2. Step 2: Convert to fraction form
   13,184.10/19,770.38 = 3,947.94/x
3. Step 3: Cross multiply
   13,184.10x = 19,770.38 × 3,947.94
4. Step 4: Simplify right side
   13,184.10x = 78,052,274.02
5. Step 5: Solve for x
   x = 78,052,274.02/13,184.10
6. Step 6: Final answer
   x = 5,920.18