Finding the Fourth Proportional to 9,292.34, 12,823.65 and 5,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,292.34 : 12,823.65 = 5,100.50 : x
2. Step 2: Convert to fraction form
   9,292.34/12,823.65 = 5,100.50/x
3. Step 3: Cross multiply
   9,292.34x = 12,823.65 × 5,100.50
4. Step 4: Simplify right side
   9,292.34x = 65,407,026.83
5. Step 5: Solve for x
   x = 65,407,026.83/9,292.34
6. Step 6: Final answer
   x = 7,038.81