Finding the Fourth Proportional to 12,892.14, 19,337.40 and 5,101.56

Step by Step Solution

1. Step 1: Write the proportion equation
   12,892.14 : 19,337.40 = 5,101.56 : x
2. Step 2: Convert to fraction form
   12,892.14/19,337.40 = 5,101.56/x
3. Step 3: Cross multiply
   12,892.14x = 19,337.40 × 5,101.56
4. Step 4: Simplify right side
   12,892.14x = 98,650,906.34
5. Step 5: Solve for x
   x = 98,650,906.34/12,892.14
6. Step 6: Final answer
   x = 7,652.02