Finding the Fourth Proportional to 1,113.67, 1,669.89 and 456.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,113.67 : 1,669.89 = 456.01 : x
2. Step 2: Convert to fraction form
   1,113.67/1,669.89 = 456.01/x
3. Step 3: Cross multiply
   1,113.67x = 1,669.89 × 456.01
4. Step 4: Simplify right side
   1,113.67x = 761,486.54
5. Step 5: Solve for x
   x = 761,486.54/1,113.67
6. Step 6: Final answer
   x = 683.76