Finding the Fourth Proportional to 1,510.68, 2,084.84 and 838.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.68 : 2,084.84 = 838.52 : x
2. Step 2: Convert to fraction form
   1,510.68/2,084.84 = 838.52/x
3. Step 3: Cross multiply
   1,510.68x = 2,084.84 × 838.52
4. Step 4: Simplify right side
   1,510.68x = 1,748,168.56
5. Step 5: Solve for x
   x = 1,748,168.56/1,510.68
6. Step 6: Final answer
   x = 1,157.21