Finding the Fourth Proportional to 10,129.06, 13,978.17 and 5,937.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,129.06 : 13,978.17 = 5,937.34 : x
2. Step 2: Convert to fraction form
   10,129.06/13,978.17 = 5,937.34/x
3. Step 3: Cross multiply
   10,129.06x = 13,978.17 × 5,937.34
4. Step 4: Simplify right side
   10,129.06x = 82,993,147.87
5. Step 5: Solve for x
   x = 82,993,147.87/10,129.06
6. Step 6: Final answer
   x = 8,193.57