Finding the Fourth Proportional to 10,333.47, 14,259.19 and 5,796.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333.47 : 14,259.19 = 5,796.33 : x
2. Step 2: Convert to fraction form
   10,333.47/14,259.19 = 5,796.33/x
3. Step 3: Cross multiply
   10,333.47x = 14,259.19 × 5,796.33
4. Step 4: Simplify right side
   10,333.47x = 82,650,970.77
5. Step 5: Solve for x
   x = 82,650,970.77/10,333.47
6. Step 6: Final answer
   x = 7,998.38