Finding the Fourth Proportional to 9,902.56, 14,842.77 and 4,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.56 : 14,842.77 = 4,697.50 : x
2. Step 2: Convert to fraction form
   9,902.56/14,842.77 = 4,697.50/x
3. Step 3: Cross multiply
   9,902.56x = 14,842.77 × 4,697.50
4. Step 4: Simplify right side
   9,902.56x = 69,723,912.08
5. Step 5: Solve for x
   x = 69,723,912.08/9,902.56
6. Step 6: Final answer
   x = 7,041.00