Finding the Fourth Proportional to 10,260.47, 14,159.57 and 5,784.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260.47 : 14,159.57 = 5,784.22 : x
2. Step 2: Convert to fraction form
   10,260.47/14,159.57 = 5,784.22/x
3. Step 3: Cross multiply
   10,260.47x = 14,159.57 × 5,784.22
4. Step 4: Simplify right side
   10,260.47x = 81,902,039.06
5. Step 5: Solve for x
   x = 81,902,039.06/10,260.47
6. Step 6: Final answer
   x = 7,982.29