Finding the Fourth Proportional to 1,688.16, 2,329.59 and 942.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.16 : 2,329.59 = 942.10 : x
2. Step 2: Convert to fraction form
   1,688.16/2,329.59 = 942.10/x
3. Step 3: Cross multiply
   1,688.16x = 2,329.59 × 942.10
4. Step 4: Simplify right side
   1,688.16x = 2,194,706.74
5. Step 5: Solve for x
   x = 2,194,706.74/1,688.16
6. Step 6: Final answer
   x = 1,300.06