Finding the Fourth Proportional to 1,564.98, 2,159.20 and 975.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.98 : 2,159.20 = 975.30 : x
2. Step 2: Convert to fraction form
   1,564.98/2,159.20 = 975.30/x
3. Step 3: Cross multiply
   1,564.98x = 2,159.20 × 975.30
4. Step 4: Simplify right side
   1,564.98x = 2,105,867.76
5. Step 5: Solve for x
   x = 2,105,867.76/1,564.98
6. Step 6: Final answer
   x = 1,345.62