Finding the Fourth Proportional to 10,638.34, 14,680.64 and 5,922.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.34 : 14,680.64 = 5,922.52 : x
2. Step 2: Convert to fraction form
   10,638.34/14,680.64 = 5,922.52/x
3. Step 3: Cross multiply
   10,638.34x = 14,680.64 × 5,922.52
4. Step 4: Simplify right side
   10,638.34x = 86,946,362.12
5. Step 5: Solve for x
   x = 86,946,362.12/10,638.34
6. Step 6: Final answer
   x = 8,172.93