Finding the Fourth Proportional to 1,588.14, 2,191.83 and 916.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.14 : 2,191.83 = 916.04 : x
2. Step 2: Convert to fraction form
   1,588.14/2,191.83 = 916.04/x
3. Step 3: Cross multiply
   1,588.14x = 2,191.83 × 916.04
4. Step 4: Simplify right side
   1,588.14x = 2,007,806.00
5. Step 5: Solve for x
   x = 2,007,806.00/1,588.14
6. Step 6: Final answer
   x = 1,264.25