Finding the Fourth Proportional to 6,507.28, 9,762.59 and 1,827.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507.28 : 9,762.59 = 1,827.30 : x
2. Step 2: Convert to fraction form
   6,507.28/9,762.59 = 1,827.30/x
3. Step 3: Cross multiply
   6,507.28x = 9,762.59 × 1,827.30
4. Step 4: Simplify right side
   6,507.28x = 17,839,180.71
5. Step 5: Solve for x
   x = 17,839,180.71/6,507.28
6. Step 6: Final answer
   x = 2,741.42