Finding the Fourth Proportional to 1,026.21, 1,536.89 and 792.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.21 : 1,536.89 = 792.93 : x
2. Step 2: Convert to fraction form
   1,026.21/1,536.89 = 792.93/x
3. Step 3: Cross multiply
   1,026.21x = 1,536.89 × 792.93
4. Step 4: Simplify right side
   1,026.21x = 1,218,642.22
5. Step 5: Solve for x
   x = 1,218,642.22/1,026.21
6. Step 6: Final answer
   x = 1,187.52