Finding the Fourth Proportional to 9,677.16, 14,509.76 and 4,127.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.16 : 14,509.76 = 4,127.31 : x
2. Step 2: Convert to fraction form
   9,677.16/14,509.76 = 4,127.31/x
3. Step 3: Cross multiply
   9,677.16x = 14,509.76 × 4,127.31
4. Step 4: Simplify right side
   9,677.16x = 59,886,256.91
5. Step 5: Solve for x
   x = 59,886,256.91/9,677.16
6. Step 6: Final answer
   x = 6,188.41