Finding the Fourth Proportional to 9,678.63, 13,356.50 and 5,486.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.63 : 13,356.50 = 5,486.88 : x
2. Step 2: Convert to fraction form
   9,678.63/13,356.50 = 5,486.88/x
3. Step 3: Cross multiply
   9,678.63x = 13,356.50 × 5,486.88
4. Step 4: Simplify right side
   9,678.63x = 73,285,512.72
5. Step 5: Solve for x
   x = 73,285,512.72/9,678.63
6. Step 6: Final answer
   x = 7,571.89