Finding the Fourth Proportional to 12,846.96, 19,224.86 and 7,566.57

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846.96 : 19,224.86 = 7,566.57 : x
2. Step 2: Convert to fraction form
   12,846.96/19,224.86 = 7,566.57/x
3. Step 3: Cross multiply
   12,846.96x = 19,224.86 × 7,566.57
4. Step 4: Simplify right side
   12,846.96x = 145,466,211.10
5. Step 5: Solve for x
   x = 145,466,211.10/12,846.96
6. Step 6: Final answer
   x = 11,323.01