Finding the Fourth Proportional to 1,162.02, 1,740.78 and 1,102.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.02 : 1,740.78 = 1,102.98 : x
2. Step 2: Convert to fraction form
   1,162.02/1,740.78 = 1,102.98/x
3. Step 3: Cross multiply
   1,162.02x = 1,740.78 × 1,102.98
4. Step 4: Simplify right side
   1,162.02x = 1,920,045.52
5. Step 5: Solve for x
   x = 1,920,045.52/1,162.02
6. Step 6: Final answer
   x = 1,652.33