Finding the Fourth Proportional to 10,542.27, 14,548.50 and 5,826.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.27 : 14,548.50 = 5,826.59 : x
2. Step 2: Convert to fraction form
   10,542.27/14,548.50 = 5,826.59/x
3. Step 3: Cross multiply
   10,542.27x = 14,548.50 × 5,826.59
4. Step 4: Simplify right side
   10,542.27x = 84,768,071.87
5. Step 5: Solve for x
   x = 84,768,071.87/10,542.27
6. Step 6: Final answer
   x = 8,040.78