Finding the Fourth Proportional to 1,183.98, 1,776.42 and 534.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.98 : 1,776.42 = 534.72 : x
2. Step 2: Convert to fraction form
   1,183.98/1,776.42 = 534.72/x
3. Step 3: Cross multiply
   1,183.98x = 1,776.42 × 534.72
4. Step 4: Simplify right side
   1,183.98x = 949,887.30
5. Step 5: Solve for x
   x = 949,887.30/1,183.98
6. Step 6: Final answer
   x = 802.28