Finding the Fourth Proportional to 6,507.39, 9,762.78 and 1,827.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507.39 : 9,762.78 = 1,827.42 : x
2. Step 2: Convert to fraction form
   6,507.39/9,762.78 = 1,827.42/x
3. Step 3: Cross multiply
   6,507.39x = 9,762.78 × 1,827.42
4. Step 4: Simplify right side
   6,507.39x = 17,840,699.43
5. Step 5: Solve for x
   x = 17,840,699.43/6,507.39
6. Step 6: Final answer
   x = 2,741.61