Finding the Fourth Proportional to 10,029.27, 13,840.55 and 5,491.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029.27 : 13,840.55 = 5,491.88 : x
2. Step 2: Convert to fraction form
   10,029.27/13,840.55 = 5,491.88/x
3. Step 3: Cross multiply
   10,029.27x = 13,840.55 × 5,491.88
4. Step 4: Simplify right side
   10,029.27x = 76,010,543.07
5. Step 5: Solve for x
   x = 76,010,543.07/10,029.27
6. Step 6: Final answer
   x = 7,578.87