Finding the Fourth Proportional to 10,542.42, 14,547.67 and 5,826.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.42 : 14,547.67 = 5,826.69 : x
2. Step 2: Convert to fraction form
   10,542.42/14,547.67 = 5,826.69/x
3. Step 3: Cross multiply
   10,542.42x = 14,547.67 × 5,826.69
4. Step 4: Simplify right side
   10,542.42x = 84,764,748.75
5. Step 5: Solve for x
   x = 84,764,748.75/10,542.42
6. Step 6: Final answer
   x = 8,040.35