Finding the Fourth Proportional to 9,146.06, 12,612.83 and 5,561.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.06 : 12,612.83 = 5,561.63 : x
2. Step 2: Convert to fraction form
   9,146.06/12,612.83 = 5,561.63/x
3. Step 3: Cross multiply
   9,146.06x = 12,612.83 × 5,561.63
4. Step 4: Simplify right side
   9,146.06x = 70,147,939.15
5. Step 5: Solve for x
   x = 70,147,939.15/9,146.06
6. Step 6: Final answer
   x = 7,669.74