Finding the Fourth Proportional to 9,084.58, 13,609.59 and 5,177.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,084.58 : 13,609.59 = 5,177.14 : x
2. Step 2: Convert to fraction form
   9,084.58/13,609.59 = 5,177.14/x
3. Step 3: Cross multiply
   9,084.58x = 13,609.59 × 5,177.14
4. Step 4: Simplify right side
   9,084.58x = 70,458,752.77
5. Step 5: Solve for x
   x = 70,458,752.77/9,084.58
6. Step 6: Final answer
   x = 7,755.86