Finding the Fourth Proportional to 2,529.76, 3,488.52 and 1,534.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,529.76 : 3,488.52 = 1,534.88 : x
2. Step 2: Convert to fraction form
   2,529.76/3,488.52 = 1,534.88/x
3. Step 3: Cross multiply
   2,529.76x = 3,488.52 × 1,534.88
4. Step 4: Simplify right side
   2,529.76x = 5,354,459.58
5. Step 5: Solve for x
   x = 5,354,459.58/2,529.76
6. Step 6: Final answer
   x = 2,116.59