Finding the Fourth Proportional to 1,361.62, 1,878.68 and 802.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,361.62 : 1,878.68 = 802.10 : x
2. Step 2: Convert to fraction form
   1,361.62/1,878.68 = 802.10/x
3. Step 3: Cross multiply
   1,361.62x = 1,878.68 × 802.10
4. Step 4: Simplify right side
   1,361.62x = 1,506,889.23
5. Step 5: Solve for x
   x = 1,506,889.23/1,361.62
6. Step 6: Final answer
   x = 1,106.69