Finding the Fourth Proportional to 10,259.22, 14,155.20 and 5,782.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.22 : 14,155.20 = 5,782.98 : x
2. Step 2: Convert to fraction form
   10,259.22/14,155.20 = 5,782.98/x
3. Step 3: Cross multiply
   10,259.22x = 14,155.20 × 5,782.98
4. Step 4: Simplify right side
   10,259.22x = 81,859,238.50
5. Step 5: Solve for x
   x = 81,859,238.50/10,259.22
6. Step 6: Final answer
   x = 7,979.09