Finding the Fourth Proportional to 1,300.10, 1,794.06 and 802.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.10 : 1,794.06 = 802.77 : x
2. Step 2: Convert to fraction form
   1,300.10/1,794.06 = 802.77/x
3. Step 3: Cross multiply
   1,300.10x = 1,794.06 × 802.77
4. Step 4: Simplify right side
   1,300.10x = 1,440,217.55
5. Step 5: Solve for x
   x = 1,440,217.55/1,300.10
6. Step 6: Final answer
   x = 1,107.78