Finding the Fourth Proportional to 32,494.50, 48,742.02 and 7,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,494.50 : 48,742.02 = 7,870.50 : x
2. Step 2: Convert to fraction form
   32,494.50/48,742.02 = 7,870.50/x
3. Step 3: Cross multiply
   32,494.50x = 48,742.02 × 7,870.50
4. Step 4: Simplify right side
   32,494.50x = 383,624,068.41
5. Step 5: Solve for x
   x = 383,624,068.41/32,494.50
6. Step 6: Final answer
   x = 11,805.82