Finding the Fourth Proportional to 1,164.12, 1,607.76 and 1,091.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.12 : 1,607.76 = 1,091.76 : x
2. Step 2: Convert to fraction form
   1,164.12/1,607.76 = 1,091.76/x
3. Step 3: Cross multiply
   1,164.12x = 1,607.76 × 1,091.76
4. Step 4: Simplify right side
   1,164.12x = 1,755,288.06
5. Step 5: Solve for x
   x = 1,755,288.06/1,164.12
6. Step 6: Final answer
   x = 1,507.82