Finding the Fourth Proportional to 1,667.68, 2,502.42 and 742.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.68 : 2,502.42 = 742.84 : x
2. Step 2: Convert to fraction form
   1,667.68/2,502.42 = 742.84/x
3. Step 3: Cross multiply
   1,667.68x = 2,502.42 × 742.84
4. Step 4: Simplify right side
   1,667.68x = 1,858,897.67
5. Step 5: Solve for x
   x = 1,858,897.67/1,667.68
6. Step 6: Final answer
   x = 1,114.66