Finding the Fourth Proportional to 9,292.34, 12,822.80 and 5,100.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,292.34 : 12,822.80 = 5,100.86 : x
2. Step 2: Convert to fraction form
   9,292.34/12,822.80 = 5,100.86/x
3. Step 3: Cross multiply
   9,292.34x = 12,822.80 × 5,100.86
4. Step 4: Simplify right side
   9,292.34x = 65,407,307.61
5. Step 5: Solve for x
   x = 65,407,307.61/9,292.34
6. Step 6: Final answer
   x = 7,038.84