Finding the Fourth Proportional to 5,193.79, 7,790.71 and 1,298.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,193.79 : 7,790.71 = 1,298.20 : x
2. Step 2: Convert to fraction form
   5,193.79/7,790.71 = 1,298.20/x
3. Step 3: Cross multiply
   5,193.79x = 7,790.71 × 1,298.20
4. Step 4: Simplify right side
   5,193.79x = 10,113,899.72
5. Step 5: Solve for x
   x = 10,113,899.72/5,193.79
6. Step 6: Final answer
   x = 1,947.31