Finding the Fourth Proportional to 1,256.24, 1,885.82 and 526.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.24 : 1,885.82 = 526.30 : x
2. Step 2: Convert to fraction form
   1,256.24/1,885.82 = 526.30/x
3. Step 3: Cross multiply
   1,256.24x = 1,885.82 × 526.30
4. Step 4: Simplify right side
   1,256.24x = 992,499.72
5. Step 5: Solve for x
   x = 992,499.72/1,256.24
6. Step 6: Final answer
   x = 790.05