Finding the Fourth Proportional to 1,688.22, 2,329.72 and 942.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.22 : 2,329.72 = 942.14 : x
2. Step 2: Convert to fraction form
   1,688.22/2,329.72 = 942.14/x
3. Step 3: Cross multiply
   1,688.22x = 2,329.72 × 942.14
4. Step 4: Simplify right side
   1,688.22x = 2,194,925.87
5. Step 5: Solve for x
   x = 2,194,925.87/1,688.22
6. Step 6: Final answer
   x = 1,300.14