Finding the Fourth Proportional to 9,919.98, 13,688.67 and 5,670.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,919.98 : 13,688.67 = 5,670.18 : x
2. Step 2: Convert to fraction form
   9,919.98/13,688.67 = 5,670.18/x
3. Step 3: Cross multiply
   9,919.98x = 13,688.67 × 5,670.18
4. Step 4: Simplify right side
   9,919.98x = 77,617,222.86
5. Step 5: Solve for x
   x = 77,617,222.86/9,919.98
6. Step 6: Final answer
   x = 7,824.33