Finding the Fourth Proportional to 1,176.53, 1,764.86 and 435.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.53 : 1,764.86 = 435.98 : x
2. Step 2: Convert to fraction form
   1,176.53/1,764.86 = 435.98/x
3. Step 3: Cross multiply
   1,176.53x = 1,764.86 × 435.98
4. Step 4: Simplify right side
   1,176.53x = 769,445.90
5. Step 5: Solve for x
   x = 769,445.90/1,176.53
6. Step 6: Final answer
   x = 654.00