Finding the Fourth Proportional to 1,658, 2,288.52 and 1,106

Step by Step Solution

1. Step 1: Write the proportion equation
   1,658 : 2,288.52 = 1,106 : x
2. Step 2: Convert to fraction form
   1,658/2,288.52 = 1,106/x
3. Step 3: Cross multiply
   1,658x = 2,288.52 × 1,106
4. Step 4: Simplify right side
   1,658x = 2,531,103.12
5. Step 5: Solve for x
   x = 2,531,103.12/1,658
6. Step 6: Final answer
   x = 1,526.60