Finding the Fourth Proportional to 9,677.34, 13,354.56 and 5,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.34 : 13,354.56 = 5,485.50 : x
2. Step 2: Convert to fraction form
   9,677.34/13,354.56 = 5,485.50/x
3. Step 3: Cross multiply
   9,677.34x = 13,354.56 × 5,485.50
4. Step 4: Simplify right side
   9,677.34x = 73,256,438.88
5. Step 5: Solve for x
   x = 73,256,438.88/9,677.34
6. Step 6: Final answer
   x = 7,569.89