Finding the Fourth Proportional to 9,736.80, 14,612.76 and 3,897.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.80 : 14,612.76 = 3,897.24 : x
2. Step 2: Convert to fraction form
   9,736.80/14,612.76 = 3,897.24/x
3. Step 3: Cross multiply
   9,736.80x = 14,612.76 × 3,897.24
4. Step 4: Simplify right side
   9,736.80x = 56,949,432.78
5. Step 5: Solve for x
   x = 56,949,432.78/9,736.80
6. Step 6: Final answer
   x = 5,848.89