Finding the Fourth Proportional to 9,705.50, 14,546.06 and 4,152.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.50 : 14,546.06 = 4,152.32 : x
2. Step 2: Convert to fraction form
   9,705.50/14,546.06 = 4,152.32/x
3. Step 3: Cross multiply
   9,705.50x = 14,546.06 × 4,152.32
4. Step 4: Simplify right side
   9,705.50x = 60,399,895.86
5. Step 5: Solve for x
   x = 60,399,895.86/9,705.50
6. Step 6: Final answer
   x = 6,223.26