Finding the Fourth Proportional to 13,085.32, 19,616.90 and 5,684.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,085.32 : 19,616.90 = 5,684.20 : x
2. Step 2: Convert to fraction form
   13,085.32/19,616.90 = 5,684.20/x
3. Step 3: Cross multiply
   13,085.32x = 19,616.90 × 5,684.20
4. Step 4: Simplify right side
   13,085.32x = 111,506,382.98
5. Step 5: Solve for x
   x = 111,506,382.98/13,085.32
6. Step 6: Final answer
   x = 8,521.49