Finding the Fourth Proportional to 10,058.42, 13,876.81 and 7,412.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,058.42 : 13,876.81 = 7,412.14 : x
2. Step 2: Convert to fraction form
   10,058.42/13,876.81 = 7,412.14/x
3. Step 3: Cross multiply
   10,058.42x = 13,876.81 × 7,412.14
4. Step 4: Simplify right side
   10,058.42x = 102,856,858.47
5. Step 5: Solve for x
   x = 102,856,858.47/10,058.42
6. Step 6: Final answer
   x = 10,225.95