Finding the Fourth Proportional to 1,174.50, 1,621.42 and 802.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174.50 : 1,621.42 = 802.00 : x
2. Step 2: Convert to fraction form
   1,174.50/1,621.42 = 802.00/x
3. Step 3: Cross multiply
   1,174.50x = 1,621.42 × 802.00
4. Step 4: Simplify right side
   1,174.50x = 1,300,378.86
5. Step 5: Solve for x
   x = 1,300,378.86/1,174.50
6. Step 6: Final answer
   x = 1,107.18