Finding the Fourth Proportional to 10,542.96, 14,548.71 and 5,826.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.96 : 14,548.71 = 5,826.94 : x
2. Step 2: Convert to fraction form
   10,542.96/14,548.71 = 5,826.94/x
3. Step 3: Cross multiply
   10,542.96x = 14,548.71 × 5,826.94
4. Step 4: Simplify right side
   10,542.96x = 84,774,445.73
5. Step 5: Solve for x
   x = 84,774,445.73/10,542.96
6. Step 6: Final answer
   x = 8,040.86