Finding the Fourth Proportional to 10,099.74, 13,937.56 and 5,623.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.74 : 13,937.56 = 5,623.55 : x
2. Step 2: Convert to fraction form
   10,099.74/13,937.56 = 5,623.55/x
3. Step 3: Cross multiply
   10,099.74x = 13,937.56 × 5,623.55
4. Step 4: Simplify right side
   10,099.74x = 78,378,565.54
5. Step 5: Solve for x
   x = 78,378,565.54/10,099.74
6. Step 6: Final answer
   x = 7,760.45