Finding the Fourth Proportional to 9,802.58, 14,706.32 and 2,782.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802.58 : 14,706.32 = 2,782.62 : x
2. Step 2: Convert to fraction form
   9,802.58/14,706.32 = 2,782.62/x
3. Step 3: Cross multiply
   9,802.58x = 14,706.32 × 2,782.62
4. Step 4: Simplify right side
   9,802.58x = 40,922,086.25
5. Step 5: Solve for x
   x = 40,922,086.25/9,802.58
6. Step 6: Final answer
   x = 4,174.63