Finding the Fourth Proportional to 10,507.20, 14,499.96 and 5,791.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.20 : 14,499.96 = 5,791.44 : x
2. Step 2: Convert to fraction form
   10,507.20/14,499.96 = 5,791.44/x
3. Step 3: Cross multiply
   10,507.20x = 14,499.96 × 5,791.44
4. Step 4: Simplify right side
   10,507.20x = 83,975,648.34
5. Step 5: Solve for x
   x = 83,975,648.34/10,507.20
6. Step 6: Final answer
   x = 7,992.20