Finding the Fourth Proportional to 10,542.32, 14,546.84 and 5,826.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.32 : 14,546.84 = 5,826.80 : x
2. Step 2: Convert to fraction form
   10,542.32/14,546.84 = 5,826.80/x
3. Step 3: Cross multiply
   10,542.32x = 14,546.84 × 5,826.80
4. Step 4: Simplify right side
   10,542.32x = 84,761,527.31
5. Step 5: Solve for x
   x = 84,761,527.31/10,542.32
6. Step 6: Final answer
   x = 8,040.12