Finding the Fourth Proportional to 9,802.82, 14,700.98 and 7,005.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802.82 : 14,700.98 = 7,005.90 : x
2. Step 2: Convert to fraction form
   9,802.82/14,700.98 = 7,005.90/x
3. Step 3: Cross multiply
   9,802.82x = 14,700.98 × 7,005.90
4. Step 4: Simplify right side
   9,802.82x = 102,993,595.78
5. Step 5: Solve for x
   x = 102,993,595.78/9,802.82
6. Step 6: Final answer
   x = 10,506.53