Finding the Fourth Proportional to 9,117.96, 12,584.88 and 5,583.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.96 : 12,584.88 = 5,583.12 : x
2. Step 2: Convert to fraction form
   9,117.96/12,584.88 = 5,583.12/x
3. Step 3: Cross multiply
   9,117.96x = 12,584.88 × 5,583.12
4. Step 4: Simplify right side
   9,117.96x = 70,262,895.23
5. Step 5: Solve for x
   x = 70,262,895.23/9,117.96
6. Step 6: Final answer
   x = 7,705.99