Finding the Fourth Proportional to 10,810.76, 14,920.50 and 7,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,810.76 : 14,920.50 = 7,825.50 : x
2. Step 2: Convert to fraction form
   10,810.76/14,920.50 = 7,825.50/x
3. Step 3: Cross multiply
   10,810.76x = 14,920.50 × 7,825.50
4. Step 4: Simplify right side
   10,810.76x = 116,760,372.75
5. Step 5: Solve for x
   x = 116,760,372.75/10,810.76
6. Step 6: Final answer
   x = 10,800.39