Finding the Fourth Proportional to 10,548.63, 14,556.65 and 5,832.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,548.63 : 14,556.65 = 5,832.81 : x
2. Step 2: Convert to fraction form
   10,548.63/14,556.65 = 5,832.81/x
3. Step 3: Cross multiply
   10,548.63x = 14,556.65 × 5,832.81
4. Step 4: Simplify right side
   10,548.63x = 84,906,144.52
5. Step 5: Solve for x
   x = 84,906,144.52/10,548.63
6. Step 6: Final answer
   x = 8,049.02