Finding the Fourth Proportional to 9,738.86, 14,599.05 and 3,160.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.86 : 14,599.05 = 3,160.45 : x
2. Step 2: Convert to fraction form
   9,738.86/14,599.05 = 3,160.45/x
3. Step 3: Cross multiply
   9,738.86x = 14,599.05 × 3,160.45
4. Step 4: Simplify right side
   9,738.86x = 46,139,519.22
5. Step 5: Solve for x
   x = 46,139,519.22/9,738.86
6. Step 6: Final answer
   x = 4,737.67