Finding the Fourth Proportional to 10,259.91, 14,158.69 and 5,783.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.91 : 14,158.69 = 5,783.65 : x
2. Step 2: Convert to fraction form
   10,259.91/14,158.69 = 5,783.65/x
3. Step 3: Cross multiply
   10,259.91x = 14,158.69 × 5,783.65
4. Step 4: Simplify right side
   10,259.91x = 81,888,857.77
5. Step 5: Solve for x
   x = 81,888,857.77/10,259.91
6. Step 6: Final answer
   x = 7,981.44