Finding the Fourth Proportional to 9,697.34, 14,546.09 and 3,853.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.34 : 14,546.09 = 3,853.94 : x
2. Step 2: Convert to fraction form
   9,697.34/14,546.09 = 3,853.94/x
3. Step 3: Cross multiply
   9,697.34x = 14,546.09 × 3,853.94
4. Step 4: Simplify right side
   9,697.34x = 56,059,695.00
5. Step 5: Solve for x
   x = 56,059,695.00/9,697.34
6. Step 6: Final answer
   x = 5,780.93