Finding the Fourth Proportional to 1,500.53, 2,250.59 and 526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.53 : 2,250.59 = 526.50 : x
2. Step 2: Convert to fraction form
   1,500.53/2,250.59 = 526.50/x
3. Step 3: Cross multiply
   1,500.53x = 2,250.59 × 526.50
4. Step 4: Simplify right side
   1,500.53x = 1,184,933.00
5. Step 5: Solve for x
   x = 1,184,933.00/1,500.53
6. Step 6: Final answer
   x = 789.68