Finding the Fourth Proportional to 10,638.96, 14,681.88 and 5,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.96 : 14,681.88 = 5,923.50 : x
2. Step 2: Convert to fraction form
   10,638.96/14,681.88 = 5,923.50/x
3. Step 3: Cross multiply
   10,638.96x = 14,681.88 × 5,923.50
4. Step 4: Simplify right side
   10,638.96x = 86,968,116.18
5. Step 5: Solve for x
   x = 86,968,116.18/10,638.96
6. Step 6: Final answer
   x = 8,174.49