Finding the Fourth Proportional to 10,126.01, 13,973.72 and 5,649.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.01 : 13,973.72 = 5,649.35 : x
2. Step 2: Convert to fraction form
   10,126.01/13,973.72 = 5,649.35/x
3. Step 3: Cross multiply
   10,126.01x = 13,973.72 × 5,649.35
4. Step 4: Simplify right side
   10,126.01x = 78,942,336.97
5. Step 5: Solve for x
   x = 78,942,336.97/10,126.01
6. Step 6: Final answer
   x = 7,795.99