Finding the Fourth Proportional to 1,566.37, 2,346.35 and 742.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.37 : 2,346.35 = 742.14 : x
2. Step 2: Convert to fraction form
   1,566.37/2,346.35 = 742.14/x
3. Step 3: Cross multiply
   1,566.37x = 2,346.35 × 742.14
4. Step 4: Simplify right side
   1,566.37x = 1,741,322.04
5. Step 5: Solve for x
   x = 1,741,322.04/1,566.37
6. Step 6: Final answer
   x = 1,111.69