Finding the Fourth Proportional to 10,076.37, 13,905.46 and 5,827.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.37 : 13,905.46 = 5,827.42 : x
2. Step 2: Convert to fraction form
   10,076.37/13,905.46 = 5,827.42/x
3. Step 3: Cross multiply
   10,076.37x = 13,905.46 × 5,827.42
4. Step 4: Simplify right side
   10,076.37x = 81,032,955.71
5. Step 5: Solve for x
   x = 81,032,955.71/10,076.37
6. Step 6: Final answer
   x = 8,041.88