Finding the Fourth Proportional to 1,274.61, 1,758.76 and 801.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.61 : 1,758.76 = 801.69 : x
2. Step 2: Convert to fraction form
   1,274.61/1,758.76 = 801.69/x
3. Step 3: Cross multiply
   1,274.61x = 1,758.76 × 801.69
4. Step 4: Simplify right side
   1,274.61x = 1,409,967.50
5. Step 5: Solve for x
   x = 1,409,967.50/1,274.61
6. Step 6: Final answer
   x = 1,106.20