Finding the Fourth Proportional to 9,312.09, 12,851.31 and 5,120.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,312.09 : 12,851.31 = 5,120.34 : x
2. Step 2: Convert to fraction form
   9,312.09/12,851.31 = 5,120.34/x
3. Step 3: Cross multiply
   9,312.09x = 12,851.31 × 5,120.34
4. Step 4: Simplify right side
   9,312.09x = 65,803,076.65
5. Step 5: Solve for x
   x = 65,803,076.65/9,312.09
6. Step 6: Final answer
   x = 7,066.41