Finding the Fourth Proportional to 10,638.42, 14,680.74 and 5,922.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.42 : 14,680.74 = 5,922.60 : x
2. Step 2: Convert to fraction form
   10,638.42/14,680.74 = 5,922.60/x
3. Step 3: Cross multiply
   10,638.42x = 14,680.74 × 5,922.60
4. Step 4: Simplify right side
   10,638.42x = 86,948,150.72
5. Step 5: Solve for x
   x = 86,948,150.72/10,638.42
6. Step 6: Final answer
   x = 8,173.03