Finding the Fourth Proportional to 5,111.30, 7,665.86 and 1,824.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.30 : 7,665.86 = 1,824.60 : x
2. Step 2: Convert to fraction form
   5,111.30/7,665.86 = 1,824.60/x
3. Step 3: Cross multiply
   5,111.30x = 7,665.86 × 1,824.60
4. Step 4: Simplify right side
   5,111.30x = 13,987,128.16
5. Step 5: Solve for x
   x = 13,987,128.16/5,111.30
6. Step 6: Final answer
   x = 2,736.51