Finding the Fourth Proportional to 1,533.60, 2,290.68 and 1,100.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.60 : 2,290.68 = 1,100.52 : x
2. Step 2: Convert to fraction form
   1,533.60/2,290.68 = 1,100.52/x
3. Step 3: Cross multiply
   1,533.60x = 2,290.68 × 1,100.52
4. Step 4: Simplify right side
   1,533.60x = 2,520,939.15
5. Step 5: Solve for x
   x = 2,520,939.15/1,533.60
6. Step 6: Final answer
   x = 1,643.80