Finding the Fourth Proportional to 9,086.64, 13,630.32 and 3,888.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086.64 : 13,630.32 = 3,888.96 : x
2. Step 2: Convert to fraction form
   9,086.64/13,630.32 = 3,888.96/x
3. Step 3: Cross multiply
   9,086.64x = 13,630.32 × 3,888.96
4. Step 4: Simplify right side
   9,086.64x = 53,007,769.27
5. Step 5: Solve for x
   x = 53,007,769.27/9,086.64
6. Step 6: Final answer
   x = 5,833.59