Finding the Fourth Proportional to 9,705.80, 14,546.50 and 4,152.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.80 : 14,546.50 = 4,152.62 : x
2. Step 2: Convert to fraction form
   9,705.80/14,546.50 = 4,152.62/x
3. Step 3: Cross multiply
   9,705.80x = 14,546.50 × 4,152.62
4. Step 4: Simplify right side
   9,705.80x = 60,406,086.83
5. Step 5: Solve for x
   x = 60,406,086.83/9,705.80
6. Step 6: Final answer
   x = 6,223.71