Finding the Fourth Proportional to 2,742.60, 3,784.69 and 1,564.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.60 : 3,784.69 = 1,564.05 : x
2. Step 2: Convert to fraction form
   2,742.60/3,784.69 = 1,564.05/x
3. Step 3: Cross multiply
   2,742.60x = 3,784.69 × 1,564.05
4. Step 4: Simplify right side
   2,742.60x = 5,919,421.56
5. Step 5: Solve for x
   x = 5,919,421.56/2,742.60
6. Step 6: Final answer
   x = 2,158.33