Finding the Fourth Proportional to 8,996.93, 12,407.69 and 5,640.12

Step by Step Solution

1. Step 1: Write the proportion equation
   8,996.93 : 12,407.69 = 5,640.12 : x
2. Step 2: Convert to fraction form
   8,996.93/12,407.69 = 5,640.12/x
3. Step 3: Cross multiply
   8,996.93x = 12,407.69 × 5,640.12
4. Step 4: Simplify right side
   8,996.93x = 69,980,832.32
5. Step 5: Solve for x
   x = 69,980,832.32/8,996.93
6. Step 6: Final answer
   x = 7,778.31