Finding the Fourth Proportional to 1,430.90, 1,974.57 and 801.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,430.90 : 1,974.57 = 801.42 : x
2. Step 2: Convert to fraction form
   1,430.90/1,974.57 = 801.42/x
3. Step 3: Cross multiply
   1,430.90x = 1,974.57 × 801.42
4. Step 4: Simplify right side
   1,430.90x = 1,582,459.89
5. Step 5: Solve for x
   x = 1,582,459.89/1,430.90
6. Step 6: Final answer
   x = 1,105.92