Finding the Fourth Proportional to 10,085.50, 13,918 and 5,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.50 : 13,918 = 5,669.50 : x
2. Step 2: Convert to fraction form
   10,085.50/13,918 = 5,669.50/x
3. Step 3: Cross multiply
   10,085.50x = 13,918 × 5,669.50
4. Step 4: Simplify right side
   10,085.50x = 78,908,101
5. Step 5: Solve for x
   x = 78,908,101/10,085.50
6. Step 6: Final answer
   x = 7,823.92