Finding the Fourth Proportional to 11,700.42, 16,136.14 and 9,707.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700.42 : 16,136.14 = 9,707.82 : x
2. Step 2: Convert to fraction form
   11,700.42/16,136.14 = 9,707.82/x
3. Step 3: Cross multiply
   11,700.42x = 16,136.14 × 9,707.82
4. Step 4: Simplify right side
   11,700.42x = 156,646,742.61
5. Step 5: Solve for x
   x = 156,646,742.61/11,700.42
6. Step 6: Final answer
   x = 13,388.13