Finding the Fourth Proportional to 10,141.76, 13,996.06 and 5,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.76 : 13,996.06 = 5,665.50 : x
2. Step 2: Convert to fraction form
   10,141.76/13,996.06 = 5,665.50/x
3. Step 3: Cross multiply
   10,141.76x = 13,996.06 × 5,665.50
4. Step 4: Simplify right side
   10,141.76x = 79,294,663.77
5. Step 5: Solve for x
   x = 79,294,663.77/10,141.76
6. Step 6: Final answer
   x = 7,818.63