Finding the Fourth Proportional to 1,177.57, 1,624.83 and 653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177.57 : 1,624.83 = 653.50 : x
2. Step 2: Convert to fraction form
   1,177.57/1,624.83 = 653.50/x
3. Step 3: Cross multiply
   1,177.57x = 1,624.83 × 653.50
4. Step 4: Simplify right side
   1,177.57x = 1,061,826.41
5. Step 5: Solve for x
   x = 1,061,826.41/1,177.57
6. Step 6: Final answer
   x = 901.71