Finding the Fourth Proportional to 1,111.86, 1,665.36 and 460.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.86 : 1,665.36 = 460.62 : x
2. Step 2: Convert to fraction form
   1,111.86/1,665.36 = 460.62/x
3. Step 3: Cross multiply
   1,111.86x = 1,665.36 × 460.62
4. Step 4: Simplify right side
   1,111.86x = 767,098.12
5. Step 5: Solve for x
   x = 767,098.12/1,111.86
6. Step 6: Final answer
   x = 689.92