Finding the Fourth Proportional to 1,109.83, 1,664.74 and 288.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.83 : 1,664.74 = 288.10 : x
2. Step 2: Convert to fraction form
   1,109.83/1,664.74 = 288.10/x
3. Step 3: Cross multiply
   1,109.83x = 1,664.74 × 288.10
4. Step 4: Simplify right side
   1,109.83x = 479,611.59
5. Step 5: Solve for x
   x = 479,611.59/1,109.83
6. Step 6: Final answer
   x = 432.15