Finding the Fourth Proportional to 1,588.15, 2,191.80 and 880.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.15 : 2,191.80 = 880.05 : x
2. Step 2: Convert to fraction form
   1,588.15/2,191.80 = 880.05/x
3. Step 3: Cross multiply
   1,588.15x = 2,191.80 × 880.05
4. Step 4: Simplify right side
   1,588.15x = 1,928,893.59
5. Step 5: Solve for x
   x = 1,928,893.59/1,588.15
6. Step 6: Final answer
   x = 1,214.55