Finding the Fourth Proportional to 9,919.56, 13,688.99 and 5,670.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,919.56 : 13,688.99 = 5,670.71 : x
2. Step 2: Convert to fraction form
   9,919.56/13,688.99 = 5,670.71/x
3. Step 3: Cross multiply
   9,919.56x = 13,688.99 × 5,670.71
4. Step 4: Simplify right side
   9,919.56x = 77,626,264.13
5. Step 5: Solve for x
   x = 77,626,264.13/9,919.56
6. Step 6: Final answer
   x = 7,825.58