Finding the Fourth Proportional to 10,085.57, 13,918.60 and 5,609.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.57 : 13,918.60 = 5,609.41 : x
2. Step 2: Convert to fraction form
   10,085.57/13,918.60 = 5,609.41/x
3. Step 3: Cross multiply
   10,085.57x = 13,918.60 × 5,609.41
4. Step 4: Simplify right side
   10,085.57x = 78,075,064.43
5. Step 5: Solve for x
   x = 78,075,064.43/10,085.57
6. Step 6: Final answer
   x = 7,741.26