Finding the Fourth Proportional to 9,746.10, 14,616.31 and 3,505.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,746.10 : 14,616.31 = 3,505.05 : x
2. Step 2: Convert to fraction form
   9,746.10/14,616.31 = 3,505.05/x
3. Step 3: Cross multiply
   9,746.10x = 14,616.31 × 3,505.05
4. Step 4: Simplify right side
   9,746.10x = 51,230,897.37
5. Step 5: Solve for x
   x = 51,230,897.37/9,746.10
6. Step 6: Final answer
   x = 5,256.55