Finding the Fourth Proportional to 9,292.25, 12,823.35 and 5,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,292.25 : 12,823.35 = 5,100.50 : x
2. Step 2: Convert to fraction form
   9,292.25/12,823.35 = 5,100.50/x
3. Step 3: Cross multiply
   9,292.25x = 12,823.35 × 5,100.50
4. Step 4: Simplify right side
   9,292.25x = 65,405,496.68
5. Step 5: Solve for x
   x = 65,405,496.68/9,292.25
6. Step 6: Final answer
   x = 7,038.71