Finding the Fourth Proportional to 11,795.31, 16,285.86 and 7,824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,795.31 : 16,285.86 = 7,824.69 : x
2. Step 2: Convert to fraction form
   11,795.31/16,285.86 = 7,824.69/x
3. Step 3: Cross multiply
   11,795.31x = 16,285.86 × 7,824.69
4. Step 4: Simplify right side
   11,795.31x = 127,431,805.88
5. Step 5: Solve for x
   x = 127,431,805.88/11,795.31
6. Step 6: Final answer
   x = 10,803.60