Finding the Fourth Proportional to 10,173.00, 14,038.05 and 5,635.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,173.00 : 14,038.05 = 5,635.37 : x
2. Step 2: Convert to fraction form
   10,173.00/14,038.05 = 5,635.37/x
3. Step 3: Cross multiply
   10,173.00x = 14,038.05 × 5,635.37
4. Step 4: Simplify right side
   10,173.00x = 79,109,625.22
5. Step 5: Solve for x
   x = 79,109,625.22/10,173.00
6. Step 6: Final answer
   x = 7,776.43