Finding the Fourth Proportional to 10,005.12, 13,807.59 and 5,756.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.12 : 13,807.59 = 5,756.82 : x
2. Step 2: Convert to fraction form
   10,005.12/13,807.59 = 5,756.82/x
3. Step 3: Cross multiply
   10,005.12x = 13,807.59 × 5,756.82
4. Step 4: Simplify right side
   10,005.12x = 79,487,842.14
5. Step 5: Solve for x
   x = 79,487,842.14/10,005.12
6. Step 6: Final answer
   x = 7,944.72