Finding the Fourth Proportional to 10,069.76, 13,896.39 and 5,877.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,069.76 : 13,896.39 = 5,877.98 : x
2. Step 2: Convert to fraction form
   10,069.76/13,896.39 = 5,877.98/x
3. Step 3: Cross multiply
   10,069.76x = 13,896.39 × 5,877.98
4. Step 4: Simplify right side
   10,069.76x = 81,682,702.49
5. Step 5: Solve for x
   x = 81,682,702.49/10,069.76
6. Step 6: Final answer
   x = 8,111.68