Finding the Fourth Proportional to 1,429.60, 1,972.76 and 800.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.60 : 1,972.76 = 800.02 : x
2. Step 2: Convert to fraction form
   1,429.60/1,972.76 = 800.02/x
3. Step 3: Cross multiply
   1,429.60x = 1,972.76 × 800.02
4. Step 4: Simplify right side
   1,429.60x = 1,578,247.46
5. Step 5: Solve for x
   x = 1,578,247.46/1,429.60
6. Step 6: Final answer
   x = 1,103.98