Finding the Fourth Proportional to 10,333.63, 14,259.42 and 5,796.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333.63 : 14,259.42 = 5,796.51 : x
2. Step 2: Convert to fraction form
   10,333.63/14,259.42 = 5,796.51/x
3. Step 3: Cross multiply
   10,333.63x = 14,259.42 × 5,796.51
4. Step 4: Simplify right side
   10,333.63x = 82,654,870.62
5. Step 5: Solve for x
   x = 82,654,870.62/10,333.63
6. Step 6: Final answer
   x = 7,998.63