Finding the Fourth Proportional to 1,199.85, 1,656.50 and 807.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.85 : 1,656.50 = 807.27 : x
2. Step 2: Convert to fraction form
   1,199.85/1,656.50 = 807.27/x
3. Step 3: Cross multiply
   1,199.85x = 1,656.50 × 807.27
4. Step 4: Simplify right side
   1,199.85x = 1,337,238.72
5. Step 5: Solve for x
   x = 1,337,238.72/1,199.85
6. Step 6: Final answer
   x = 1,114.50