Finding the Fourth Proportional to 9,113.16, 12,576.71 and 5,577.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,113.16 : 12,576.71 = 5,577.06 : x
2. Step 2: Convert to fraction form
   9,113.16/12,576.71 = 5,577.06/x
3. Step 3: Cross multiply
   9,113.16x = 12,576.71 × 5,577.06
4. Step 4: Simplify right side
   9,113.16x = 70,141,038.39
5. Step 5: Solve for x
   x = 70,141,038.39/9,113.16
6. Step 6: Final answer
   x = 7,696.68