Finding the Fourth Proportional to 11,096.06, 16,649.55 and 7,830.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,096.06 : 16,649.55 = 7,830.14 : x
2. Step 2: Convert to fraction form
   11,096.06/16,649.55 = 7,830.14/x
3. Step 3: Cross multiply
   11,096.06x = 16,649.55 × 7,830.14
4. Step 4: Simplify right side
   11,096.06x = 130,368,224.19
5. Step 5: Solve for x
   x = 130,368,224.19/11,096.06
6. Step 6: Final answer
   x = 11,749.06