Finding the Fourth Proportional to 9,114.63, 13,677.86 and 4,735.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.63 : 13,677.86 = 4,735.16 : x
2. Step 2: Convert to fraction form
   9,114.63/13,677.86 = 4,735.16/x
3. Step 3: Cross multiply
   9,114.63x = 13,677.86 × 4,735.16
4. Step 4: Simplify right side
   9,114.63x = 64,766,850.30
5. Step 5: Solve for x
   x = 64,766,850.30/9,114.63
6. Step 6: Final answer
   x = 7,105.82