Finding the Fourth Proportional to 10,127.50, 13,975.90 and 5,650.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127.50 : 13,975.90 = 5,650.98 : x
2. Step 2: Convert to fraction form
   10,127.50/13,975.90 = 5,650.98/x
3. Step 3: Cross multiply
   10,127.50x = 13,975.90 × 5,650.98
4. Step 4: Simplify right side
   10,127.50x = 78,977,503.13
5. Step 5: Solve for x
   x = 78,977,503.13/10,127.50
6. Step 6: Final answer
   x = 7,798.33