Finding the Fourth Proportional to 9,917.94, 13,686.86 and 5,669.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,917.94 : 13,686.86 = 5,669.59 : x
2. Step 2: Convert to fraction form
   9,917.94/13,686.86 = 5,669.59/x
3. Step 3: Cross multiply
   9,917.94x = 13,686.86 × 5,669.59
4. Step 4: Simplify right side
   9,917.94x = 77,598,856.24
5. Step 5: Solve for x
   x = 77,598,856.24/9,917.94
6. Step 6: Final answer
   x = 7,824.09