Finding the Fourth Proportional to 1,510.50, 2,085.35 and 1,178.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.50 : 2,085.35 = 1,178.22 : x
2. Step 2: Convert to fraction form
   1,510.50/2,085.35 = 1,178.22/x
3. Step 3: Cross multiply
   1,510.50x = 2,085.35 × 1,178.22
4. Step 4: Simplify right side
   1,510.50x = 2,456,995.19
5. Step 5: Solve for x
   x = 2,456,995.19/1,510.50
6. Step 6: Final answer
   x = 1,626.61