Finding the Fourth Proportional to 9,146.77, 12,623.17 and 5,563.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.77 : 12,623.17 = 5,563.13 : x
2. Step 2: Convert to fraction form
   9,146.77/12,623.17 = 5,563.13/x
3. Step 3: Cross multiply
   9,146.77x = 12,623.17 × 5,563.13
4. Step 4: Simplify right side
   9,146.77x = 70,224,335.72
5. Step 5: Solve for x
   x = 70,224,335.72/9,146.77
6. Step 6: Final answer
   x = 7,677.50