Finding the Fourth Proportional to 10,083.69, 15,111.66 and 5,142.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.69 : 15,111.66 = 5,142.93 : x
2. Step 2: Convert to fraction form
   10,083.69/15,111.66 = 5,142.93/x
3. Step 3: Cross multiply
   10,083.69x = 15,111.66 × 5,142.93
4. Step 4: Simplify right side
   10,083.69x = 77,718,172.18
5. Step 5: Solve for x
   x = 77,718,172.18/10,083.69
6. Step 6: Final answer
   x = 7,707.31