Finding the Fourth Proportional to 10,259.33, 14,156.51 and 5,783.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.33 : 14,156.51 = 5,783.27 : x
2. Step 2: Convert to fraction form
   10,259.33/14,156.51 = 5,783.27/x
3. Step 3: Cross multiply
   10,259.33x = 14,156.51 × 5,783.27
4. Step 4: Simplify right side
   10,259.33x = 81,870,819.89
5. Step 5: Solve for x
   x = 81,870,819.89/10,259.33
6. Step 6: Final answer
   x = 7,980.14