Finding the Fourth Proportional to 10,042.64, 15,073.20 and 5,115.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.64 : 15,073.20 = 5,115.81 : x
2. Step 2: Convert to fraction form
   10,042.64/15,073.20 = 5,115.81/x
3. Step 3: Cross multiply
   10,042.64x = 15,073.20 × 5,115.81
4. Step 4: Simplify right side
   10,042.64x = 77,111,627.29
5. Step 5: Solve for x
   x = 77,111,627.29/10,042.64
6. Step 6: Final answer
   x = 7,678.42