Finding the Fourth Proportional to 5,140.69, 7,094.15 and 2,782.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140.69 : 7,094.15 = 2,782.83 : x
2. Step 2: Convert to fraction form
   5,140.69/7,094.15 = 2,782.83/x
3. Step 3: Cross multiply
   5,140.69x = 7,094.15 × 2,782.83
4. Step 4: Simplify right side
   5,140.69x = 19,741,820.40
5. Step 5: Solve for x
   x = 19,741,820.40/5,140.69
6. Step 6: Final answer
   x = 3,840.31