Finding the Fourth Proportional to 1,564.50, 2,159.38 and 975.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 2,159.38 = 975.22 : x
2. Step 2: Convert to fraction form
   1,564.50/2,159.38 = 975.22/x
3. Step 3: Cross multiply
   1,564.50x = 2,159.38 × 975.22
4. Step 4: Simplify right side
   1,564.50x = 2,105,870.56
5. Step 5: Solve for x
   x = 2,105,870.56/1,564.50
6. Step 6: Final answer
   x = 1,346.03