Finding the Fourth Proportional to 1,200.24, 1,656.60 and 807.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.24 : 1,656.60 = 807.60 : x
2. Step 2: Convert to fraction form
   1,200.24/1,656.60 = 807.60/x
3. Step 3: Cross multiply
   1,200.24x = 1,656.60 × 807.60
4. Step 4: Simplify right side
   1,200.24x = 1,337,870.16
5. Step 5: Solve for x
   x = 1,337,870.16/1,200.24
6. Step 6: Final answer
   x = 1,114.67