Finding the Fourth Proportional to 10,542.71, 14,548.52 and 5,826.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.71 : 14,548.52 = 5,826.89 : x
2. Step 2: Convert to fraction form
   10,542.71/14,548.52 = 5,826.89/x
3. Step 3: Cross multiply
   10,542.71x = 14,548.52 × 5,826.89
4. Step 4: Simplify right side
   10,542.71x = 84,772,567.53
5. Step 5: Solve for x
   x = 84,772,567.53/10,542.71
6. Step 6: Final answer
   x = 8,040.87