Finding the Fourth Proportional to 10,074, 13,902.12 and 5,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074 : 13,902.12 = 5,658 : x
2. Step 2: Convert to fraction form
   10,074/13,902.12 = 5,658/x
3. Step 3: Cross multiply
   10,074x = 13,902.12 × 5,658
4. Step 4: Simplify right side
   10,074x = 78,658,194.96
5. Step 5: Solve for x
   x = 78,658,194.96/10,074
6. Step 6: Final answer
   x = 7,808.04