Finding the Fourth Proportional to 10,635.31, 14,644.69 and 10,011.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,635.31 : 14,644.69 = 10,011.88 : x
2. Step 2: Convert to fraction form
   10,635.31/14,644.69 = 10,011.88/x
3. Step 3: Cross multiply
   10,635.31x = 14,644.69 × 10,011.88
4. Step 4: Simplify right side
   10,635.31x = 146,620,878.92
5. Step 5: Solve for x
   x = 146,620,878.92/10,635.31
6. Step 6: Final answer
   x = 13,786.23