Finding the Fourth Proportional to 1,431.46, 1,975.46 and 802.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.46 : 1,975.46 = 802.01 : x
2. Step 2: Convert to fraction form
   1,431.46/1,975.46 = 802.01/x
3. Step 3: Cross multiply
   1,431.46x = 1,975.46 × 802.01
4. Step 4: Simplify right side
   1,431.46x = 1,584,338.67
5. Step 5: Solve for x
   x = 1,584,338.67/1,431.46
6. Step 6: Final answer
   x = 1,106.80