Finding the Fourth Proportional to 9,647.06, 14,478.73 and 3,807.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,647.06 : 14,478.73 = 3,807.77 : x
2. Step 2: Convert to fraction form
   9,647.06/14,478.73 = 3,807.77/x
3. Step 3: Cross multiply
   9,647.06x = 14,478.73 × 3,807.77
4. Step 4: Simplify right side
   9,647.06x = 55,131,591.82
5. Step 5: Solve for x
   x = 55,131,591.82/9,647.06
6. Step 6: Final answer
   x = 5,714.86