Finding the Fourth Proportional to 9,665.30, 14,487.15 and 4,117.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.30 : 14,487.15 = 4,117.70 : x
2. Step 2: Convert to fraction form
   9,665.30/14,487.15 = 4,117.70/x
3. Step 3: Cross multiply
   9,665.30x = 14,487.15 × 4,117.70
4. Step 4: Simplify right side
   9,665.30x = 59,653,737.56
5. Step 5: Solve for x
   x = 59,653,737.56/9,665.30
6. Step 6: Final answer
   x = 6,171.95