Finding the Fourth Proportional to 5,109.52, 7,664.88 and 1,823.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.52 : 7,664.88 = 1,823.08 : x
2. Step 2: Convert to fraction form
   5,109.52/7,664.88 = 1,823.08/x
3. Step 3: Cross multiply
   5,109.52x = 7,664.88 × 1,823.08
4. Step 4: Simplify right side
   5,109.52x = 13,973,689.43
5. Step 5: Solve for x
   x = 13,973,689.43/5,109.52
6. Step 6: Final answer
   x = 2,734.83