Finding the Fourth Proportional to 10,511.78, 14,506.29 and 5,796.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,511.78 : 14,506.29 = 5,796.02 : x
2. Step 2: Convert to fraction form
   10,511.78/14,506.29 = 5,796.02/x
3. Step 3: Cross multiply
   10,511.78x = 14,506.29 × 5,796.02
4. Step 4: Simplify right side
   10,511.78x = 84,078,783.23
5. Step 5: Solve for x
   x = 84,078,783.23/10,511.78
6. Step 6: Final answer
   x = 7,998.53