Finding the Fourth Proportional to 9,988.64, 13,783.92 and 5,796.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,988.64 : 13,783.92 = 5,796.56 : x
2. Step 2: Convert to fraction form
   9,988.64/13,783.92 = 5,796.56/x
3. Step 3: Cross multiply
   9,988.64x = 13,783.92 × 5,796.56
4. Step 4: Simplify right side
   9,988.64x = 79,899,319.32
5. Step 5: Solve for x
   x = 79,899,319.32/9,988.64
6. Step 6: Final answer
   x = 7,999.02