Finding the Fourth Proportional to 10,642.18, 14,686.23 and 5,926.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.18 : 14,686.23 = 5,926.63 : x
2. Step 2: Convert to fraction form
   10,642.18/14,686.23 = 5,926.63/x
3. Step 3: Cross multiply
   10,642.18x = 14,686.23 × 5,926.63
4. Step 4: Simplify right side
   10,642.18x = 87,039,851.30
5. Step 5: Solve for x
   x = 87,039,851.30/10,642.18
6. Step 6: Final answer
   x = 8,178.76