Finding the Fourth Proportional to 1,117.89, 1,677.38 and 460.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.89 : 1,677.38 = 460.25 : x
2. Step 2: Convert to fraction form
   1,117.89/1,677.38 = 460.25/x
3. Step 3: Cross multiply
   1,117.89x = 1,677.38 × 460.25
4. Step 4: Simplify right side
   1,117.89x = 772,019.18
5. Step 5: Solve for x
   x = 772,019.18/1,117.89
6. Step 6: Final answer
   x = 690.60