Finding the Fourth Proportional to 2,049, 2,827.62 and 1,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049 : 2,827.62 = 1,117.50 : x
2. Step 2: Convert to fraction form
   2,049/2,827.62 = 1,117.50/x
3. Step 3: Cross multiply
   2,049x = 2,827.62 × 1,117.50
4. Step 4: Simplify right side
   2,049x = 3,159,865.35
5. Step 5: Solve for x
   x = 3,159,865.35/2,049
6. Step 6: Final answer
   x = 1,542.15