Finding the Fourth Proportional to 10,641.34, 14,686.41 and 5,927.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.34 : 14,686.41 = 5,927.14 : x
2. Step 2: Convert to fraction form
   10,641.34/14,686.41 = 5,927.14/x
3. Step 3: Cross multiply
   10,641.34x = 14,686.41 × 5,927.14
4. Step 4: Simplify right side
   10,641.34x = 87,048,408.17
5. Step 5: Solve for x
   x = 87,048,408.17/10,641.34
6. Step 6: Final answer
   x = 8,180.21