Finding the Fourth Proportional to 1,274.42, 1,758.10 and 802.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.42 : 1,758.10 = 802.10 : x
2. Step 2: Convert to fraction form
   1,274.42/1,758.10 = 802.10/x
3. Step 3: Cross multiply
   1,274.42x = 1,758.10 × 802.10
4. Step 4: Simplify right side
   1,274.42x = 1,410,161.21
5. Step 5: Solve for x
   x = 1,410,161.21/1,274.42
6. Step 6: Final answer
   x = 1,106.52