Finding the Fourth Proportional to 7,741.80, 10,684.61 and 4,598.00

Step by Step Solution

1. Step 1: Write the proportion equation
   7,741.80 : 10,684.61 = 4,598.00 : x
2. Step 2: Convert to fraction form
   7,741.80/10,684.61 = 4,598.00/x
3. Step 3: Cross multiply
   7,741.80x = 10,684.61 × 4,598.00
4. Step 4: Simplify right side
   7,741.80x = 49,127,760.37
5. Step 5: Solve for x
   x = 49,127,760.37/7,741.80
6. Step 6: Final answer
   x = 6,345.78