Finding the Fourth Proportional to 10,319.47, 14,239.17 and 5,842.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,319.47 : 14,239.17 = 5,842.27 : x
2. Step 2: Convert to fraction form
   10,319.47/14,239.17 = 5,842.27/x
3. Step 3: Cross multiply
   10,319.47x = 14,239.17 × 5,842.27
4. Step 4: Simplify right side
   10,319.47x = 83,189,075.72
5. Step 5: Solve for x
   x = 83,189,075.72/10,319.47
6. Step 6: Final answer
   x = 8,061.37