Finding the Fourth Proportional to 10,100.22, 13,937.31 and 5,623.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.22 : 13,937.31 = 5,623.80 : x
2. Step 2: Convert to fraction form
   10,100.22/13,937.31 = 5,623.80/x
3. Step 3: Cross multiply
   10,100.22x = 13,937.31 × 5,623.80
4. Step 4: Simplify right side
   10,100.22x = 78,380,643.98
5. Step 5: Solve for x
   x = 78,380,643.98/10,100.22
6. Step 6: Final answer
   x = 7,760.29