Finding the Fourth Proportional to 12,798.14, 19,199.82 and 5,402.60

Step by Step Solution

1. Step 1: Write the proportion equation
   12,798.14 : 19,199.82 = 5,402.60 : x
2. Step 2: Convert to fraction form
   12,798.14/19,199.82 = 5,402.60/x
3. Step 3: Cross multiply
   12,798.14x = 19,199.82 × 5,402.60
4. Step 4: Simplify right side
   12,798.14x = 103,728,947.53
5. Step 5: Solve for x
   x = 103,728,947.53/12,798.14
6. Step 6: Final answer
   x = 8,105.00