Finding the Fourth Proportional to 1,536.21, 2,301.89 and 876.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.21 : 2,301.89 = 876.87 : x
2. Step 2: Convert to fraction form
   1,536.21/2,301.89 = 876.87/x
3. Step 3: Cross multiply
   1,536.21x = 2,301.89 × 876.87
4. Step 4: Simplify right side
   1,536.21x = 2,018,453.90
5. Step 5: Solve for x
   x = 2,018,453.90/1,536.21
6. Step 6: Final answer
   x = 1,313.92