Finding the Fourth Proportional to 6,100.34, 9,140.00 and 4,121.60

Step by Step Solution

1. Step 1: Write the proportion equation
   6,100.34 : 9,140.00 = 4,121.60 : x
2. Step 2: Convert to fraction form
   6,100.34/9,140.00 = 4,121.60/x
3. Step 3: Cross multiply
   6,100.34x = 9,140.00 × 4,121.60
4. Step 4: Simplify right side
   6,100.34x = 37,671,357.69
5. Step 5: Solve for x
   x = 37,671,357.69/6,100.34
6. Step 6: Final answer
   x = 6,175.29