Finding the Fourth Proportional to 1,431.48, 1,975.50 and 802.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.48 : 1,975.50 = 802.02 : x
2. Step 2: Convert to fraction form
   1,431.48/1,975.50 = 802.02/x
3. Step 3: Cross multiply
   1,431.48x = 1,975.50 × 802.02
4. Step 4: Simplify right side
   1,431.48x = 1,584,390.51
5. Step 5: Solve for x
   x = 1,584,390.51/1,431.48
6. Step 6: Final answer
   x = 1,106.82