Finding the Fourth Proportional to 9,768.04, 14,657.82 and 3,927.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.04 : 14,657.82 = 3,927.40 : x
2. Step 2: Convert to fraction form
   9,768.04/14,657.82 = 3,927.40/x
3. Step 3: Cross multiply
   9,768.04x = 14,657.82 × 3,927.40
4. Step 4: Simplify right side
   9,768.04x = 57,567,122.27
5. Step 5: Solve for x
   x = 57,567,122.27/9,768.04
6. Step 6: Final answer
   x = 5,893.42