Finding the Fourth Proportional to 1,045.34, 1,567.74 and 314.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,045.34 : 1,567.74 = 314.72 : x
2. Step 2: Convert to fraction form
   1,045.34/1,567.74 = 314.72/x
3. Step 3: Cross multiply
   1,045.34x = 1,567.74 × 314.72
4. Step 4: Simplify right side
   1,045.34x = 493,399.13
5. Step 5: Solve for x
   x = 493,399.13/1,045.34
6. Step 6: Final answer
   x = 472.00