Finding the Fourth Proportional to 2,742.40, 3,784.61 and 1,547.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.40 : 3,784.61 = 1,547.37 : x
2. Step 2: Convert to fraction form
   2,742.40/3,784.61 = 1,547.37/x
3. Step 3: Cross multiply
   2,742.40x = 3,784.61 × 1,547.37
4. Step 4: Simplify right side
   2,742.40x = 5,856,191.98
5. Step 5: Solve for x
   x = 5,856,191.98/2,742.40
6. Step 6: Final answer
   x = 2,135.43