Finding the Fourth Proportional to 1,177.72, 1,625.27 and 735.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177.72 : 1,625.27 = 735.88 : x
2. Step 2: Convert to fraction form
   1,177.72/1,625.27 = 735.88/x
3. Step 3: Cross multiply
   1,177.72x = 1,625.27 × 735.88
4. Step 4: Simplify right side
   1,177.72x = 1,196,002.04
5. Step 5: Solve for x
   x = 1,196,002.04/1,177.72
6. Step 6: Final answer
   x = 1,015.52