Finding the Fourth Proportional to 7,356.81, 10,152.50 and 4,213

Step by Step Solution

1. Step 1: Write the proportion equation
   7,356.81 : 10,152.50 = 4,213 : x
2. Step 2: Convert to fraction form
   7,356.81/10,152.50 = 4,213/x
3. Step 3: Cross multiply
   7,356.81x = 10,152.50 × 4,213
4. Step 4: Simplify right side
   7,356.81x = 42,772,482.50
5. Step 5: Solve for x
   x = 42,772,482.50/7,356.81
6. Step 6: Final answer
   x = 5,814.00