Finding the Fourth Proportional to 10,263.14, 14,162.96 and 5,786.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,263.14 : 14,162.96 = 5,786.90 : x
2. Step 2: Convert to fraction form
   10,263.14/14,162.96 = 5,786.90/x
3. Step 3: Cross multiply
   10,263.14x = 14,162.96 × 5,786.90
4. Step 4: Simplify right side
   10,263.14x = 81,959,633.22
5. Step 5: Solve for x
   x = 81,959,633.22/10,263.14
6. Step 6: Final answer
   x = 7,985.82