Finding the Fourth Proportional to 1,552.51, 2,328.72 and 456.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,552.51 : 2,328.72 = 456.91 : x
2. Step 2: Convert to fraction form
   1,552.51/2,328.72 = 456.91/x
3. Step 3: Cross multiply
   1,552.51x = 2,328.72 × 456.91
4. Step 4: Simplify right side
   1,552.51x = 1,064,015.46
5. Step 5: Solve for x
   x = 1,064,015.46/1,552.51
6. Step 6: Final answer
   x = 685.35