Finding the Fourth Proportional to 1,488.76, 2,233.42 and 564.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.76 : 2,233.42 = 564.59 : x
2. Step 2: Convert to fraction form
   1,488.76/2,233.42 = 564.59/x
3. Step 3: Cross multiply
   1,488.76x = 2,233.42 × 564.59
4. Step 4: Simplify right side
   1,488.76x = 1,260,966.60
5. Step 5: Solve for x
   x = 1,260,966.60/1,488.76
6. Step 6: Final answer
   x = 846.99