Finding the Fourth Proportional to 9,141.12, 12,615.35 and 5,783.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,141.12 : 12,615.35 = 5,783.67 : x
2. Step 2: Convert to fraction form
   9,141.12/12,615.35 = 5,783.67/x
3. Step 3: Cross multiply
   9,141.12x = 12,615.35 × 5,783.67
4. Step 4: Simplify right side
   9,141.12x = 72,962,992.42
5. Step 5: Solve for x
   x = 72,962,992.42/9,141.12
6. Step 6: Final answer
   x = 7,981.84