Finding the Fourth Proportional to 10,077.36, 13,905.71 and 5,827.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.36 : 13,905.71 = 5,827.77 : x
2. Step 2: Convert to fraction form
   10,077.36/13,905.71 = 5,827.77/x
3. Step 3: Cross multiply
   10,077.36x = 13,905.71 × 5,827.77
4. Step 4: Simplify right side
   10,077.36x = 81,039,250.43
5. Step 5: Solve for x
   x = 81,039,250.43/10,077.36
6. Step 6: Final answer
   x = 8,041.71