Finding the Fourth Proportional to 3,799.52, 5,698.88 and 1,026.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,799.52 : 5,698.88 = 1,026.02 : x
2. Step 2: Convert to fraction form
   3,799.52/5,698.88 = 1,026.02/x
3. Step 3: Cross multiply
   3,799.52x = 5,698.88 × 1,026.02
4. Step 4: Simplify right side
   3,799.52x = 5,847,164.86
5. Step 5: Solve for x
   x = 5,847,164.86/3,799.52
6. Step 6: Final answer
   x = 1,538.92