Finding the Fourth Proportional to 12,892.86, 19,348.20 and 5,102.28

Step by Step Solution

1. Step 1: Write the proportion equation
   12,892.86 : 19,348.20 = 5,102.28 : x
2. Step 2: Convert to fraction form
   12,892.86/19,348.20 = 5,102.28/x
3. Step 3: Cross multiply
   12,892.86x = 19,348.20 × 5,102.28
4. Step 4: Simplify right side
   12,892.86x = 98,719,933.90
5. Step 5: Solve for x
   x = 98,719,933.90/12,892.86
6. Step 6: Final answer
   x = 7,656.95