Finding the Fourth Proportional to 9,920.06, 13,689.06 and 5,671.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,920.06 : 13,689.06 = 5,671.41 : x
2. Step 2: Convert to fraction form
   9,920.06/13,689.06 = 5,671.41/x
3. Step 3: Cross multiply
   9,920.06x = 13,689.06 × 5,671.41
4. Step 4: Simplify right side
   9,920.06x = 77,636,271.77
5. Step 5: Solve for x
   x = 77,636,271.77/9,920.06
6. Step 6: Final answer
   x = 7,826.19