Finding the Fourth Proportional to 1,565.21, 2,159.73 and 1,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.21 : 2,159.73 = 1,005.50 : x
2. Step 2: Convert to fraction form
   1,565.21/2,159.73 = 1,005.50/x
3. Step 3: Cross multiply
   1,565.21x = 2,159.73 × 1,005.50
4. Step 4: Simplify right side
   1,565.21x = 2,171,608.52
5. Step 5: Solve for x
   x = 2,171,608.52/1,565.21
6. Step 6: Final answer
   x = 1,387.42