Finding the Fourth Proportional to 10,493.56, 14,497.02 and 7,836.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.56 : 14,497.02 = 7,836.38 : x
2. Step 2: Convert to fraction form
   10,493.56/14,497.02 = 7,836.38/x
3. Step 3: Cross multiply
   10,493.56x = 14,497.02 × 7,836.38
4. Step 4: Simplify right side
   10,493.56x = 113,604,157.59
5. Step 5: Solve for x
   x = 113,604,157.59/10,493.56
6. Step 6: Final answer
   x = 10,826.08