Finding the Fourth Proportional to 1,774.53, 2,661.72 and 476

Step by Step Solution

1. Step 1: Write the proportion equation
   1,774.53 : 2,661.72 = 476 : x
2. Step 2: Convert to fraction form
   1,774.53/2,661.72 = 476/x
3. Step 3: Cross multiply
   1,774.53x = 2,661.72 × 476
4. Step 4: Simplify right side
   1,774.53x = 1,266,978.72
5. Step 5: Solve for x
   x = 1,266,978.72/1,774.53
6. Step 6: Final answer
   x = 713.98