Finding the Fourth Proportional to 9,705.17, 14,560.83 and 3,465.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.17 : 14,560.83 = 3,465.05 : x
2. Step 2: Convert to fraction form
   9,705.17/14,560.83 = 3,465.05/x
3. Step 3: Cross multiply
   9,705.17x = 14,560.83 × 3,465.05
4. Step 4: Simplify right side
   9,705.17x = 50,454,013.09
5. Step 5: Solve for x
   x = 50,454,013.09/9,705.17
6. Step 6: Final answer
   x = 5,198.67