Finding the Fourth Proportional to 10,548.34, 14,557.53 and 5,833.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,548.34 : 14,557.53 = 5,833.06 : x
2. Step 2: Convert to fraction form
   10,548.34/14,557.53 = 5,833.06/x
3. Step 3: Cross multiply
   10,548.34x = 14,557.53 × 5,833.06
4. Step 4: Simplify right side
   10,548.34x = 84,914,945.94
5. Step 5: Solve for x
   x = 84,914,945.94/10,548.34
6. Step 6: Final answer
   x = 8,050.08