Finding the Fourth Proportional to 10,686.14, 14,746.39 and 5,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.14 : 14,746.39 = 5,969.50 : x
2. Step 2: Convert to fraction form
   10,686.14/14,746.39 = 5,969.50/x
3. Step 3: Cross multiply
   10,686.14x = 14,746.39 × 5,969.50
4. Step 4: Simplify right side
   10,686.14x = 88,028,575.11
5. Step 5: Solve for x
   x = 88,028,575.11/10,686.14
6. Step 6: Final answer
   x = 8,237.64