Finding the Fourth Proportional to 1,688.10, 2,527.62 and 1,101.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.10 : 2,527.62 = 1,101.42 : x
2. Step 2: Convert to fraction form
   1,688.10/2,527.62 = 1,101.42/x
3. Step 3: Cross multiply
   1,688.10x = 2,527.62 × 1,101.42
4. Step 4: Simplify right side
   1,688.10x = 2,783,971.22
5. Step 5: Solve for x
   x = 2,783,971.22/1,688.10
6. Step 6: Final answer
   x = 1,649.17