Finding the Fourth Proportional to 10,072.95, 15,118.65 and 5,146.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.95 : 15,118.65 = 5,146.05 : x
2. Step 2: Convert to fraction form
   10,072.95/15,118.65 = 5,146.05/x
3. Step 3: Cross multiply
   10,072.95x = 15,118.65 × 5,146.05
4. Step 4: Simplify right side
   10,072.95x = 77,801,328.83
5. Step 5: Solve for x
   x = 77,801,328.83/10,072.95
6. Step 6: Final answer
   x = 7,723.79