Finding the Fourth Proportional to 1,431.52, 1,975.48 and 802.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.52 : 1,975.48 = 802.10 : x
2. Step 2: Convert to fraction form
   1,431.52/1,975.48 = 802.10/x
3. Step 3: Cross multiply
   1,431.52x = 1,975.48 × 802.10
4. Step 4: Simplify right side
   1,431.52x = 1,584,532.51
5. Step 5: Solve for x
   x = 1,584,532.51/1,431.52
6. Step 6: Final answer
   x = 1,106.89