Finding the Fourth Proportional to 9,677.97, 13,354.65 and 5,428.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.97 : 13,354.65 = 5,428.05 : x
2. Step 2: Convert to fraction form
   9,677.97/13,354.65 = 5,428.05/x
3. Step 3: Cross multiply
   9,677.97x = 13,354.65 × 5,428.05
4. Step 4: Simplify right side
   9,677.97x = 72,489,707.93
5. Step 5: Solve for x
   x = 72,489,707.93/9,677.97
6. Step 6: Final answer
   x = 7,490.18