Finding the Fourth Proportional to 1,567.50, 2,346.06 and 1,200.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.50 : 2,346.06 = 1,200.18 : x
2. Step 2: Convert to fraction form
   1,567.50/2,346.06 = 1,200.18/x
3. Step 3: Cross multiply
   1,567.50x = 2,346.06 × 1,200.18
4. Step 4: Simplify right side
   1,567.50x = 2,815,694.29
5. Step 5: Solve for x
   x = 2,815,694.29/1,567.50
6. Step 6: Final answer
   x = 1,796.30