Finding the Fourth Proportional to 2,535.56, 3,499.07 and 1,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.56 : 3,499.07 = 1,416.50 : x
2. Step 2: Convert to fraction form
   2,535.56/3,499.07 = 1,416.50/x
3. Step 3: Cross multiply
   2,535.56x = 3,499.07 × 1,416.50
4. Step 4: Simplify right side
   2,535.56x = 4,956,419.53
5. Step 5: Solve for x
   x = 4,956,419.53/2,535.56
6. Step 6: Final answer
   x = 1,954.76