Finding the Fourth Proportional to 10,072.63, 15,110.50 and 5,139.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.63 : 15,110.50 = 5,139.60 : x
2. Step 2: Convert to fraction form
   10,072.63/15,110.50 = 5,139.60/x
3. Step 3: Cross multiply
   10,072.63x = 15,110.50 × 5,139.60
4. Step 4: Simplify right side
   10,072.63x = 77,661,925.80
5. Step 5: Solve for x
   x = 77,661,925.80/10,072.63
6. Step 6: Final answer
   x = 7,710.19