Finding the Fourth Proportional to 10,259.89, 15,384.36 and 5,324.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.89 : 15,384.36 = 5,324.56 : x
2. Step 2: Convert to fraction form
   10,259.89/15,384.36 = 5,324.56/x
3. Step 3: Cross multiply
   10,259.89x = 15,384.36 × 5,324.56
4. Step 4: Simplify right side
   10,259.89x = 81,914,947.88
5. Step 5: Solve for x
   x = 81,914,947.88/10,259.89
6. Step 6: Final answer
   x = 7,984.00