Finding the Fourth Proportional to 10,095.85, 13,945.80 and 7,767.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,095.85 : 13,945.80 = 7,767.10 : x
2. Step 2: Convert to fraction form
   10,095.85/13,945.80 = 7,767.10/x
3. Step 3: Cross multiply
   10,095.85x = 13,945.80 × 7,767.10
4. Step 4: Simplify right side
   10,095.85x = 108,318,423.18
5. Step 5: Solve for x
   x = 108,318,423.18/10,095.85
6. Step 6: Final answer
   x = 10,729.00