Finding the Fourth Proportional to 3,705.64, 5,111.87 and 2,510.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,705.64 : 5,111.87 = 2,510.69 : x
2. Step 2: Convert to fraction form
   3,705.64/5,111.87 = 2,510.69/x
3. Step 3: Cross multiply
   3,705.64x = 5,111.87 × 2,510.69
4. Step 4: Simplify right side
   3,705.64x = 12,834,282.78
5. Step 5: Solve for x
   x = 12,834,282.78/3,705.64
6. Step 6: Final answer
   x = 3,463.45