Finding the Fourth Proportional to 1,564.18, 2,158.55 and 1,004.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.18 : 2,158.55 = 1,004.86 : x
2. Step 2: Convert to fraction form
   1,564.18/2,158.55 = 1,004.86/x
3. Step 3: Cross multiply
   1,564.18x = 2,158.55 × 1,004.86
4. Step 4: Simplify right side
   1,564.18x = 2,169,037.67
5. Step 5: Solve for x
   x = 2,169,037.67/1,564.18
6. Step 6: Final answer
   x = 1,386.70