Finding the Fourth Proportional to 1,162.64, 1,742.52 and 614.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.64 : 1,742.52 = 614.96 : x
2. Step 2: Convert to fraction form
   1,162.64/1,742.52 = 614.96/x
3. Step 3: Cross multiply
   1,162.64x = 1,742.52 × 614.96
4. Step 4: Simplify right side
   1,162.64x = 1,071,580.10
5. Step 5: Solve for x
   x = 1,071,580.10/1,162.64
6. Step 6: Final answer
   x = 921.68