Finding the Fourth Proportional to 10,259.71, 14,158.53 and 5,783.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.71 : 14,158.53 = 5,783.47 : x
2. Step 2: Convert to fraction form
   10,259.71/14,158.53 = 5,783.47/x
3. Step 3: Cross multiply
   10,259.71x = 14,158.53 × 5,783.47
4. Step 4: Simplify right side
   10,259.71x = 81,885,398.10
5. Step 5: Solve for x
   x = 81,885,398.10/10,259.71
6. Step 6: Final answer
   x = 7,981.26