Finding the Fourth Proportional to 10,577.05, 14,596.47 and 5,796.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,577.05 : 14,596.47 = 5,796.91 : x
2. Step 2: Convert to fraction form
   10,577.05/14,596.47 = 5,796.91/x
3. Step 3: Cross multiply
   10,577.05x = 14,596.47 × 5,796.91
4. Step 4: Simplify right side
   10,577.05x = 84,614,441.15
5. Step 5: Solve for x
   x = 84,614,441.15/10,577.05
6. Step 6: Final answer
   x = 7,999.82