Finding the Fourth Proportional to 10,548.72, 14,557.69 and 5,833

Step by Step Solution

1. Step 1: Write the proportion equation
   10,548.72 : 14,557.69 = 5,833 : x
2. Step 2: Convert to fraction form
   10,548.72/14,557.69 = 5,833/x
3. Step 3: Cross multiply
   10,548.72x = 14,557.69 × 5,833
4. Step 4: Simplify right side
   10,548.72x = 84,915,005.77
5. Step 5: Solve for x
   x = 84,915,005.77/10,548.72
6. Step 6: Final answer
   x = 8,049.79