Finding the Fourth Proportional to 10,222.50, 14,106.93 and 5,747.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.50 : 14,106.93 = 5,747.01 : x
2. Step 2: Convert to fraction form
   10,222.50/14,106.93 = 5,747.01/x
3. Step 3: Cross multiply
   10,222.50x = 14,106.93 × 5,747.01
4. Step 4: Simplify right side
   10,222.50x = 81,072,667.78
5. Step 5: Solve for x
   x = 81,072,667.78/10,222.50
6. Step 6: Final answer
   x = 7,930.81