Finding the Fourth Proportional to 1,561.50, 2,153.78 and 1,510.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.50 : 2,153.78 = 1,510.02 : x
2. Step 2: Convert to fraction form
   1,561.50/2,153.78 = 1,510.02/x
3. Step 3: Cross multiply
   1,561.50x = 2,153.78 × 1,510.02
4. Step 4: Simplify right side
   1,561.50x = 3,252,248.99
5. Step 5: Solve for x
   x = 3,252,248.99/1,561.50
6. Step 6: Final answer
   x = 2,082.77