Finding the Fourth Proportional to 10,259.24, 14,158.49 and 5,783.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.24 : 14,158.49 = 5,783.40 : x
2. Step 2: Convert to fraction form
   10,259.24/14,158.49 = 5,783.40/x
3. Step 3: Cross multiply
   10,259.24x = 14,158.49 × 5,783.40
4. Step 4: Simplify right side
   10,259.24x = 81,884,182.15
5. Step 5: Solve for x
   x = 81,884,182.15/10,259.24
6. Step 6: Final answer
   x = 7,981.51