Finding the Fourth Proportional to 10,077.82, 13,905.24 and 5,600.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.82 : 13,905.24 = 5,600.64 : x
2. Step 2: Convert to fraction form
   10,077.82/13,905.24 = 5,600.64/x
3. Step 3: Cross multiply
   10,077.82x = 13,905.24 × 5,600.64
4. Step 4: Simplify right side
   10,077.82x = 77,878,243.35
5. Step 5: Solve for x
   x = 77,878,243.35/10,077.82
6. Step 6: Final answer
   x = 7,727.69