Finding the Fourth Proportional to 9,706.32, 14,546.33 and 4,434.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.32 : 14,546.33 = 4,434.83 : x
2. Step 2: Convert to fraction form
   9,706.32/14,546.33 = 4,434.83/x
3. Step 3: Cross multiply
   9,706.32x = 14,546.33 × 4,434.83
4. Step 4: Simplify right side
   9,706.32x = 64,510,405.77
5. Step 5: Solve for x
   x = 64,510,405.77/9,706.32
6. Step 6: Final answer
   x = 6,646.23