Finding the Fourth Proportional to 5,189.94, 7,784.82 and 1,294.29

Step by Step Solution

1. Step 1: Write the proportion equation
   5,189.94 : 7,784.82 = 1,294.29 : x
2. Step 2: Convert to fraction form
   5,189.94/7,784.82 = 1,294.29/x
3. Step 3: Cross multiply
   5,189.94x = 7,784.82 × 1,294.29
4. Step 4: Simplify right side
   5,189.94x = 10,075,814.68
5. Step 5: Solve for x
   x = 10,075,814.68/5,189.94
6. Step 6: Final answer
   x = 1,941.41