Finding the Fourth Proportional to 10,076.97, 13,905.90 and 5,600.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.97 : 13,905.90 = 5,600.64 : x
2. Step 2: Convert to fraction form
   10,076.97/13,905.90 = 5,600.64/x
3. Step 3: Cross multiply
   10,076.97x = 13,905.90 × 5,600.64
4. Step 4: Simplify right side
   10,076.97x = 77,881,939.78
5. Step 5: Solve for x
   x = 77,881,939.78/10,076.97
6. Step 6: Final answer
   x = 7,728.71