Finding the Fourth Proportional to 1,588.56, 2,191.74 and 1,091.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.56 : 2,191.74 = 1,091.76 : x
2. Step 2: Convert to fraction form
   1,588.56/2,191.74 = 1,091.76/x
3. Step 3: Cross multiply
   1,588.56x = 2,191.74 × 1,091.76
4. Step 4: Simplify right side
   1,588.56x = 2,392,854.06
5. Step 5: Solve for x
   x = 2,392,854.06/1,588.56
6. Step 6: Final answer
   x = 1,506.30