Finding the Fourth Proportional to 9,541.08, 13,172.78 and 7,776.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,541.08 : 13,172.78 = 7,776.88 : x
2. Step 2: Convert to fraction form
   9,541.08/13,172.78 = 7,776.88/x
3. Step 3: Cross multiply
   9,541.08x = 13,172.78 × 7,776.88
4. Step 4: Simplify right side
   9,541.08x = 102,443,129.33
5. Step 5: Solve for x
   x = 102,443,129.33/9,541.08
6. Step 6: Final answer
   x = 10,737.06