Finding the Fourth Proportional to 11,680.02, 17,513.55 and 4,659.48

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680.02 : 17,513.55 = 4,659.48 : x
2. Step 2: Convert to fraction form
   11,680.02/17,513.55 = 4,659.48/x
3. Step 3: Cross multiply
   11,680.02x = 17,513.55 × 4,659.48
4. Step 4: Simplify right side
   11,680.02x = 81,604,035.95
5. Step 5: Solve for x
   x = 81,604,035.95/11,680.02
6. Step 6: Final answer
   x = 6,986.63