Finding the Fourth Proportional to 10,542.41, 14,548.59 and 5,826.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.41 : 14,548.59 = 5,826.70 : x
2. Step 2: Convert to fraction form
   10,542.41/14,548.59 = 5,826.70/x
3. Step 3: Cross multiply
   10,542.41x = 14,548.59 × 5,826.70
4. Step 4: Simplify right side
   10,542.41x = 84,770,196.61
5. Step 5: Solve for x
   x = 84,770,196.61/10,542.41
6. Step 6: Final answer
   x = 8,040.87