Finding the Fourth Proportional to 10,077.78, 13,903.34 and 5,828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.78 : 13,903.34 = 5,828.06 : x
2. Step 2: Convert to fraction form
   10,077.78/13,903.34 = 5,828.06/x
3. Step 3: Cross multiply
   10,077.78x = 13,903.34 × 5,828.06
4. Step 4: Simplify right side
   10,077.78x = 81,029,499.72
5. Step 5: Solve for x
   x = 81,029,499.72/10,077.78
6. Step 6: Final answer
   x = 8,040.41