Finding the Fourth Proportional to 2,742.01, 4,116.41 and 1,823.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.01 : 4,116.41 = 1,823.47 : x
2. Step 2: Convert to fraction form
   2,742.01/4,116.41 = 1,823.47/x
3. Step 3: Cross multiply
   2,742.01x = 4,116.41 × 1,823.47
4. Step 4: Simplify right side
   2,742.01x = 7,506,139.85
5. Step 5: Solve for x
   x = 7,506,139.85/2,742.01
6. Step 6: Final answer
   x = 2,737.46