Finding the Fourth Proportional to 10,507, 14,499.72 and 5,791.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507 : 14,499.72 = 5,791.20 : x
2. Step 2: Convert to fraction form
   10,507/14,499.72 = 5,791.20/x
3. Step 3: Cross multiply
   10,507x = 14,499.72 × 5,791.20
4. Step 4: Simplify right side
   10,507x = 83,970,778.46
5. Step 5: Solve for x
   x = 83,970,778.46/10,507
6. Step 6: Final answer
   x = 7,991.89