Finding the Fourth Proportional to 10,638.06, 14,681.04 and 5,922.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.06 : 14,681.04 = 5,922.34 : x
2. Step 2: Convert to fraction form
   10,638.06/14,681.04 = 5,922.34/x
3. Step 3: Cross multiply
   10,638.06x = 14,681.04 × 5,922.34
4. Step 4: Simplify right side
   10,638.06x = 86,946,080.82
5. Step 5: Solve for x
   x = 86,946,080.82/10,638.06
6. Step 6: Final answer
   x = 8,173.11