Finding the Fourth Proportional to 9,293.01, 12,824.58 and 5,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,293.01 : 12,824.58 = 5,314.50 : x
2. Step 2: Convert to fraction form
   9,293.01/12,824.58 = 5,314.50/x
3. Step 3: Cross multiply
   9,293.01x = 12,824.58 × 5,314.50
4. Step 4: Simplify right side
   9,293.01x = 68,156,230.41
5. Step 5: Solve for x
   x = 68,156,230.41/9,293.01
6. Step 6: Final answer
   x = 7,334.14