Finding the Fourth Proportional to 10,610.14, 14,641.56 and 5,894.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,610.14 : 14,641.56 = 5,894.72 : x
2. Step 2: Convert to fraction form
   10,610.14/14,641.56 = 5,894.72/x
3. Step 3: Cross multiply
   10,610.14x = 14,641.56 × 5,894.72
4. Step 4: Simplify right side
   10,610.14x = 86,307,896.56
5. Step 5: Solve for x
   x = 86,307,896.56/10,610.14
6. Step 6: Final answer
   x = 8,134.47