Finding the Fourth Proportional to 5,194.21, 7,784.83 and 2,597.89

Step by Step Solution

1. Step 1: Write the proportion equation
   5,194.21 : 7,784.83 = 2,597.89 : x
2. Step 2: Convert to fraction form
   5,194.21/7,784.83 = 2,597.89/x
3. Step 3: Cross multiply
   5,194.21x = 7,784.83 × 2,597.89
4. Step 4: Simplify right side
   5,194.21x = 20,224,132.01
5. Step 5: Solve for x
   x = 20,224,132.01/5,194.21
6. Step 6: Final answer
   x = 3,893.59