Finding the Fourth Proportional to 5,111.30, 7,666.65 and 1,824.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.30 : 7,666.65 = 1,824.22 : x
2. Step 2: Convert to fraction form
   5,111.30/7,666.65 = 1,824.22/x
3. Step 3: Cross multiply
   5,111.30x = 7,666.65 × 1,824.22
4. Step 4: Simplify right side
   5,111.30x = 13,985,665.85
5. Step 5: Solve for x
   x = 13,985,665.85/5,111.30
6. Step 6: Final answer
   x = 2,736.22