Finding the Fourth Proportional to 9,916.86, 13,685.19 and 5,727.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916.86 : 13,685.19 = 5,727.42 : x
2. Step 2: Convert to fraction form
   9,916.86/13,685.19 = 5,727.42/x
3. Step 3: Cross multiply
   9,916.86x = 13,685.19 × 5,727.42
4. Step 4: Simplify right side
   9,916.86x = 78,380,830.91
5. Step 5: Solve for x
   x = 78,380,830.91/9,916.86
6. Step 6: Final answer
   x = 7,903.80