Finding the Fourth Proportional to 1,100.30, 1,648.10 and 1,024.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.30 : 1,648.10 = 1,024.34 : x
2. Step 2: Convert to fraction form
   1,100.30/1,648.10 = 1,024.34/x
3. Step 3: Cross multiply
   1,100.30x = 1,648.10 × 1,024.34
4. Step 4: Simplify right side
   1,100.30x = 1,688,214.75
5. Step 5: Solve for x
   x = 1,688,214.75/1,100.30
6. Step 6: Final answer
   x = 1,534.32