Finding the Fourth Proportional to 9,665.10, 14,495.49 and 4,465.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.10 : 14,495.49 = 4,465.98 : x
2. Step 2: Convert to fraction form
   9,665.10/14,495.49 = 4,465.98/x
3. Step 3: Cross multiply
   9,665.10x = 14,495.49 × 4,465.98
4. Step 4: Simplify right side
   9,665.10x = 64,736,568.43
5. Step 5: Solve for x
   x = 64,736,568.43/9,665.10
6. Step 6: Final answer
   x = 6,697.97