Finding the Fourth Proportional to 9,678.34, 13,355.94 and 5,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.34 : 13,355.94 = 5,486.50 : x
2. Step 2: Convert to fraction form
   9,678.34/13,355.94 = 5,486.50/x
3. Step 3: Cross multiply
   9,678.34x = 13,355.94 × 5,486.50
4. Step 4: Simplify right side
   9,678.34x = 73,277,364.81
5. Step 5: Solve for x
   x = 73,277,364.81/9,678.34
6. Step 6: Final answer
   x = 7,571.27