Finding the Fourth Proportional to 1,853.00, 2,556.38 and 1,106.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.00 : 2,556.38 = 1,106.67 : x
2. Step 2: Convert to fraction form
   1,853.00/2,556.38 = 1,106.67/x
3. Step 3: Cross multiply
   1,853.00x = 2,556.38 × 1,106.67
4. Step 4: Simplify right side
   1,853.00x = 2,829,063.52
5. Step 5: Solve for x
   x = 2,829,063.52/1,853.00
6. Step 6: Final answer
   x = 1,526.75