Finding the Fourth Proportional to 1,002.95, 1,503.06 and 564.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.95 : 1,503.06 = 564.42 : x
2. Step 2: Convert to fraction form
   1,002.95/1,503.06 = 564.42/x
3. Step 3: Cross multiply
   1,002.95x = 1,503.06 × 564.42
4. Step 4: Simplify right side
   1,002.95x = 848,349.37
5. Step 5: Solve for x
   x = 848,349.37/1,002.95
6. Step 6: Final answer
   x = 845.85