Finding the Fourth Proportional to 10,098.42, 13,906.41 and 7,856.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098.42 : 13,906.41 = 7,856.52 : x
2. Step 2: Convert to fraction form
   10,098.42/13,906.41 = 7,856.52/x
3. Step 3: Cross multiply
   10,098.42x = 13,906.41 × 7,856.52
4. Step 4: Simplify right side
   10,098.42x = 109,255,988.29
5. Step 5: Solve for x
   x = 109,255,988.29/10,098.42
6. Step 6: Final answer
   x = 10,819.12