Finding the Fourth Proportional to 10,173.56, 14,038.81 and 5,636.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,173.56 : 14,038.81 = 5,636.08 : x
2. Step 2: Convert to fraction form
   10,173.56/14,038.81 = 5,636.08/x
3. Step 3: Cross multiply
   10,173.56x = 14,038.81 × 5,636.08
4. Step 4: Simplify right side
   10,173.56x = 79,123,856.26
5. Step 5: Solve for x
   x = 79,123,856.26/10,173.56
6. Step 6: Final answer
   x = 7,777.40