Finding the Fourth Proportional to 10,642.41, 14,686.38 and 5,926.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.41 : 14,686.38 = 5,926.73 : x
2. Step 2: Convert to fraction form
   10,642.41/14,686.38 = 5,926.73/x
3. Step 3: Cross multiply
   10,642.41x = 14,686.38 × 5,926.73
4. Step 4: Simplify right side
   10,642.41x = 87,042,135.51
5. Step 5: Solve for x
   x = 87,042,135.51/10,642.41
6. Step 6: Final answer
   x = 8,178.80