Finding the Fourth Proportional to 1,106.41, 1,528.32 and 775.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.41 : 1,528.32 = 775.93 : x
2. Step 2: Convert to fraction form
   1,106.41/1,528.32 = 775.93/x
3. Step 3: Cross multiply
   1,106.41x = 1,528.32 × 775.93
4. Step 4: Simplify right side
   1,106.41x = 1,185,869.34
5. Step 5: Solve for x
   x = 1,185,869.34/1,106.41
6. Step 6: Final answer
   x = 1,071.82