Finding the Fourth Proportional to 10,821.78, 14,941.89 and 7,106.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,821.78 : 14,941.89 = 7,106.58 : x
2. Step 2: Convert to fraction form
   10,821.78/14,941.89 = 7,106.58/x
3. Step 3: Cross multiply
   10,821.78x = 14,941.89 × 7,106.58
4. Step 4: Simplify right side
   10,821.78x = 106,185,736.64
5. Step 5: Solve for x
   x = 106,185,736.64/10,821.78
6. Step 6: Final answer
   x = 9,812.22