Finding the Fourth Proportional to 1,026.11, 1,416.18 and 653.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.11 : 1,416.18 = 653.25 : x
2. Step 2: Convert to fraction form
   1,026.11/1,416.18 = 653.25/x
3. Step 3: Cross multiply
   1,026.11x = 1,416.18 × 653.25
4. Step 4: Simplify right side
   1,026.11x = 925,116.72
5. Step 5: Solve for x
   x = 925,116.72/1,026.11
6. Step 6: Final answer
   x = 901.58