Finding the Fourth Proportional to 10,099.94, 15,164.04 and 5,172.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.94 : 15,164.04 = 5,172.98 : x
2. Step 2: Convert to fraction form
   10,099.94/15,164.04 = 5,172.98/x
3. Step 3: Cross multiply
   10,099.94x = 15,164.04 × 5,172.98
4. Step 4: Simplify right side
   10,099.94x = 78,443,275.64
5. Step 5: Solve for x
   x = 78,443,275.64/10,099.94
6. Step 6: Final answer
   x = 7,766.71