Finding the Fourth Proportional to 2,742.63, 3,785.50 and 1,564.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.63 : 3,785.50 = 1,564.38 : x
2. Step 2: Convert to fraction form
   2,742.63/3,785.50 = 1,564.38/x
3. Step 3: Cross multiply
   2,742.63x = 3,785.50 × 1,564.38
4. Step 4: Simplify right side
   2,742.63x = 5,921,962.45
5. Step 5: Solve for x
   x = 5,921,962.45/2,742.63
6. Step 6: Final answer
   x = 2,159.23