Finding the Fourth Proportional to 1,588.77, 2,191.59 and 1,116.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.77 : 2,191.59 = 1,116.47 : x
2. Step 2: Convert to fraction form
   1,588.77/2,191.59 = 1,116.47/x
3. Step 3: Cross multiply
   1,588.77x = 2,191.59 × 1,116.47
4. Step 4: Simplify right side
   1,588.77x = 2,446,833.53
5. Step 5: Solve for x
   x = 2,446,833.53/1,588.77
6. Step 6: Final answer
   x = 1,540.08