Finding the Fourth Proportional to 1,564.47, 2,158.32 and 1,004.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.47 : 2,158.32 = 1,004.82 : x
2. Step 2: Convert to fraction form
   1,564.47/2,158.32 = 1,004.82/x
3. Step 3: Cross multiply
   1,564.47x = 2,158.32 × 1,004.82
4. Step 4: Simplify right side
   1,564.47x = 2,168,723.10
5. Step 5: Solve for x
   x = 2,168,723.10/1,564.47
6. Step 6: Final answer
   x = 1,386.24