Finding the Fourth Proportional to 9,677.58, 14,456.31 and 7,024.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.58 : 14,456.31 = 7,024.02 : x
2. Step 2: Convert to fraction form
   9,677.58/14,456.31 = 7,024.02/x
3. Step 3: Cross multiply
   9,677.58x = 14,456.31 × 7,024.02
4. Step 4: Simplify right side
   9,677.58x = 101,541,410.57
5. Step 5: Solve for x
   x = 101,541,410.57/9,677.58
6. Step 6: Final answer
   x = 10,492.44