Finding the Fourth Proportional to 9,677.13, 13,354.43 and 5,485.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.13 : 13,354.43 = 5,485.38 : x
2. Step 2: Convert to fraction form
   9,677.13/13,354.43 = 5,485.38/x
3. Step 3: Cross multiply
   9,677.13x = 13,354.43 × 5,485.38
4. Step 4: Simplify right side
   9,677.13x = 73,254,123.23
5. Step 5: Solve for x
   x = 73,254,123.23/9,677.13
6. Step 6: Final answer
   x = 7,569.82