Finding the Fourth Proportional to 10,722.33, 14,796.32 and 5,876.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,722.33 : 14,796.32 = 5,876.82 : x
2. Step 2: Convert to fraction form
   10,722.33/14,796.32 = 5,876.82/x
3. Step 3: Cross multiply
   10,722.33x = 14,796.32 × 5,876.82
4. Step 4: Simplify right side
   10,722.33x = 86,955,279.92
5. Step 5: Solve for x
   x = 86,955,279.92/10,722.33
6. Step 6: Final answer
   x = 8,109.74