Finding the Fourth Proportional to 5,111.02, 7,667.13 and 1,824.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.02 : 7,667.13 = 1,824.58 : x
2. Step 2: Convert to fraction form
   5,111.02/7,667.13 = 1,824.58/x
3. Step 3: Cross multiply
   5,111.02x = 7,667.13 × 1,824.58
4. Step 4: Simplify right side
   5,111.02x = 13,989,292.06
5. Step 5: Solve for x
   x = 13,989,292.06/5,111.02
6. Step 6: Final answer
   x = 2,737.08