Finding the Fourth Proportional to 1,301.91, 1,796.66 and 742.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.91 : 1,796.66 = 742.35 : x
2. Step 2: Convert to fraction form
   1,301.91/1,796.66 = 742.35/x
3. Step 3: Cross multiply
   1,301.91x = 1,796.66 × 742.35
4. Step 4: Simplify right side
   1,301.91x = 1,333,750.55
5. Step 5: Solve for x
   x = 1,333,750.55/1,301.91
6. Step 6: Final answer
   x = 1,024.46