Finding the Fourth Proportional to 11,677.51, 17,510.07 and 5,096.01

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.51 : 17,510.07 = 5,096.01 : x
2. Step 2: Convert to fraction form
   11,677.51/17,510.07 = 5,096.01/x
3. Step 3: Cross multiply
   11,677.51x = 17,510.07 × 5,096.01
4. Step 4: Simplify right side
   11,677.51x = 89,231,491.82
5. Step 5: Solve for x
   x = 89,231,491.82/11,677.51
6. Step 6: Final answer
   x = 7,641.31