Finding the Fourth Proportional to 9,688.30, 14,537.25 and 3,844.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.30 : 14,537.25 = 3,844.78 : x
2. Step 2: Convert to fraction form
   9,688.30/14,537.25 = 3,844.78/x
3. Step 3: Cross multiply
   9,688.30x = 14,537.25 × 3,844.78
4. Step 4: Simplify right side
   9,688.30x = 55,892,528.06
5. Step 5: Solve for x
   x = 55,892,528.06/9,688.30
6. Step 6: Final answer
   x = 5,769.07