Finding the Fourth Proportional to 1,536.21, 2,117.43 and 1,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.21 : 2,117.43 = 1,087.50 : x
2. Step 2: Convert to fraction form
   1,536.21/2,117.43 = 1,087.50/x
3. Step 3: Cross multiply
   1,536.21x = 2,117.43 × 1,087.50
4. Step 4: Simplify right side
   1,536.21x = 2,302,705.13
5. Step 5: Solve for x
   x = 2,302,705.13/1,536.21
6. Step 6: Final answer
   x = 1,498.95