Finding the Fourth Proportional to 6,945.93, 10,419.17 and 2,561.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.93 : 10,419.17 = 2,561.00 : x
2. Step 2: Convert to fraction form
   6,945.93/10,419.17 = 2,561.00/x
3. Step 3: Cross multiply
   6,945.93x = 10,419.17 × 2,561.00
4. Step 4: Simplify right side
   6,945.93x = 26,683,429.47
5. Step 5: Solve for x
   x = 26,683,429.47/6,945.93
6. Step 6: Final answer
   x = 3,841.59